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Finding the Fourth Proportional to 659,052.20, 986,504.70 and 472,428.20

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Solution

The fourth proportional to 659,052.20, 986,504.70 and 472,428.20 is: 707,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,052.20 : 986,504.70 = 472,428.20 : x
  2. Step 2: Convert to fraction form
    659,052.20/986,504.70 = 472,428.20/x
  3. Step 3: Cross multiply
    659,052.20x = 986,504.70 × 472,428.20
  4. Step 4: Simplify right side
    659,052.20x = 466,052,639,712.54
  5. Step 5: Solve for x
    x = 466,052,639,712.54/659,052.20
  6. Step 6: Final answer
    x = 707,155.88

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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.