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Finding the Fourth Proportional to 499,092.60, 748,898.10 and 218,638.20

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Solution

The fourth proportional to 499,092.60, 748,898.10 and 218,638.20 is: 328,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,092.60 : 748,898.10 = 218,638.20 : x
  2. Step 2: Convert to fraction form
    499,092.60/748,898.10 = 218,638.20/x
  3. Step 3: Cross multiply
    499,092.60x = 748,898.10 × 218,638.20
  4. Step 4: Simplify right side
    499,092.60x = 163,737,732,567.42
  5. Step 5: Solve for x
    x = 163,737,732,567.42/499,092.60
  6. Step 6: Final answer
    x = 328,070.85

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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.