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Finding the Fourth Proportional to 656,489.80, 982,547.70 and 476,062.30

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Solution

The fourth proportional to 656,489.80, 982,547.70 and 476,062.30 is: 712,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,489.80 : 982,547.70 = 476,062.30 : x
  2. Step 2: Convert to fraction form
    656,489.80/982,547.70 = 476,062.30/x
  3. Step 3: Cross multiply
    656,489.80x = 982,547.70 × 476,062.30
  4. Step 4: Simplify right side
    656,489.80x = 467,753,917,921.71
  5. Step 5: Solve for x
    x = 467,753,917,921.71/656,489.80
  6. Step 6: Final answer
    x = 712,507.52

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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.