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Finding the Fourth Proportional to 719,057.64, 992,291.70 and 396,781.32

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Solution

The fourth proportional to 719,057.64, 992,291.70 and 396,781.32 is: 547,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,057.64 : 992,291.70 = 396,781.32 : x
  2. Step 2: Convert to fraction form
    719,057.64/992,291.70 = 396,781.32/x
  3. Step 3: Cross multiply
    719,057.64x = 992,291.70 × 396,781.32
  4. Step 4: Simplify right side
    719,057.64x = 393,722,810,551.04
  5. Step 5: Solve for x
    x = 393,722,810,551.04/719,057.64
  6. Step 6: Final answer
    x = 547,553.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.