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Finding the Fourth Proportional to 308,520.60, 462,724.14 and 140,000.40

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Solution

The fourth proportional to 308,520.60, 462,724.14 and 140,000.40 is: 209,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,520.60 : 462,724.14 = 140,000.40 : x
  2. Step 2: Convert to fraction form
    308,520.60/462,724.14 = 140,000.40/x
  3. Step 3: Cross multiply
    308,520.60x = 462,724.14 × 140,000.40
  4. Step 4: Simplify right side
    308,520.60x = 64,781,565,214.66
  5. Step 5: Solve for x
    x = 64,781,565,214.66/308,520.60
  6. Step 6: Final answer
    x = 209,974.85

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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.