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Finding the Fourth Proportional to 658,807.80, 986,024.70 and 478,380.30

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Solution

The fourth proportional to 658,807.80, 986,024.70 and 478,380.30 is: 715,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,807.80 : 986,024.70 = 478,380.30 : x
  2. Step 2: Convert to fraction form
    658,807.80/986,024.70 = 478,380.30/x
  3. Step 3: Cross multiply
    658,807.80x = 986,024.70 × 478,380.30
  4. Step 4: Simplify right side
    658,807.80x = 471,694,791,793.41
  5. Step 5: Solve for x
    x = 471,694,791,793.41/658,807.80
  6. Step 6: Final answer
    x = 715,982.40

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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.