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Finding the Fourth Proportional to 1,244,642,002.20, 1,866,963,003.30 and 969,142,987.80

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Solution

The fourth proportional to 1,244,642,002.20, 1,866,963,003.30 and 969,142,987.80 is: 1,453,714,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,642,002.20 : 1,866,963,003.30 = 969,142,987.80 : x
  2. Step 2: Convert to fraction form
    1,244,642,002.20/1,866,963,003.30 = 969,142,987.80/x
  3. Step 3: Cross multiply
    1,244,642,002.20x = 1,866,963,003.30 × 969,142,987.80
  4. Step 4: Simplify right side
    1,244,642,002.20x = 1,809,354,103,130,223,104
  5. Step 5: Solve for x
    x = 1,809,354,103,130,223,104/1,244,642,002.20
  6. Step 6: Final answer
    x = 1,453,714,481.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.