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Finding the Fourth Proportional to 827,810.80, 1,242,007.80 and 406,805.20

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Solution

The fourth proportional to 827,810.80, 1,242,007.80 and 406,805.20 is: 610,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,810.80 : 1,242,007.80 = 406,805.20 : x
  2. Step 2: Convert to fraction form
    827,810.80/1,242,007.80 = 406,805.20/x
  3. Step 3: Cross multiply
    827,810.80x = 1,242,007.80 × 406,805.20
  4. Step 4: Simplify right side
    827,810.80x = 505,255,231,480.56
  5. Step 5: Solve for x
    x = 505,255,231,480.56/827,810.80
  6. Step 6: Final answer
    x = 610,351.10

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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.