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Finding the Fourth Proportional to 658,864.80, 986,110.20 and 478,437.30

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Solution

The fourth proportional to 658,864.80, 986,110.20 and 478,437.30 is: 716,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,864.80 : 986,110.20 = 478,437.30 : x
  2. Step 2: Convert to fraction form
    658,864.80/986,110.20 = 478,437.30/x
  3. Step 3: Cross multiply
    658,864.80x = 986,110.20 × 478,437.30
  4. Step 4: Simplify right side
    658,864.80x = 471,791,901,590.46
  5. Step 5: Solve for x
    x = 471,791,901,590.46/658,864.80
  6. Step 6: Final answer
    x = 716,067.85

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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.