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Finding the Fourth Proportional to 308,156.57, 462,234.86 and 83,517.02

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Solution

The fourth proportional to 308,156.57, 462,234.86 and 83,517.02 is: 125,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,156.57 : 462,234.86 = 83,517.02 : x
  2. Step 2: Convert to fraction form
    308,156.57/462,234.86 = 83,517.02/x
  3. Step 3: Cross multiply
    308,156.57x = 462,234.86 × 83,517.02
  4. Step 4: Simplify right side
    308,156.57x = 38,604,478,047.32
  5. Step 5: Solve for x
    x = 38,604,478,047.32/308,156.57
  6. Step 6: Final answer
    x = 125,275.53

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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.