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Finding the Fourth Proportional to 522,902.40, 782,539.20 and 312,691.20

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Solution

The fourth proportional to 522,902.40, 782,539.20 and 312,691.20 is: 467,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,902.40 : 782,539.20 = 312,691.20 : x
  2. Step 2: Convert to fraction form
    522,902.40/782,539.20 = 312,691.20/x
  3. Step 3: Cross multiply
    522,902.40x = 782,539.20 × 312,691.20
  4. Step 4: Simplify right side
    522,902.40x = 244,693,121,495.04
  5. Step 5: Solve for x
    x = 244,693,121,495.04/522,902.40
  6. Step 6: Final answer
    x = 467,951.80

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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.