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Finding the Fourth Proportional to 735,404.30, 1,102,321.65 and 419,180.30

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Solution

The fourth proportional to 735,404.30, 1,102,321.65 and 419,180.30 is: 628,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,404.30 : 1,102,321.65 = 419,180.30 : x
  2. Step 2: Convert to fraction form
    735,404.30/1,102,321.65 = 419,180.30/x
  3. Step 3: Cross multiply
    735,404.30x = 1,102,321.65 × 419,180.30
  4. Step 4: Simplify right side
    735,404.30x = 462,071,519,943.50
  5. Step 5: Solve for x
    x = 462,071,519,943.50/735,404.30
  6. Step 6: Final answer
    x = 628,323.11

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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.