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Finding the Fourth Proportional to 305,908.52, 459,142.92 and 156,253.73

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Solution

The fourth proportional to 305,908.52, 459,142.92 and 156,253.73 is: 234,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,908.52 : 459,142.92 = 156,253.73 : x
  2. Step 2: Convert to fraction form
    305,908.52/459,142.92 = 156,253.73/x
  3. Step 3: Cross multiply
    305,908.52x = 459,142.92 × 156,253.73
  4. Step 4: Simplify right side
    305,908.52x = 71,742,791,557.38
  5. Step 5: Solve for x
    x = 71,742,791,557.38/305,908.52
  6. Step 6: Final answer
    x = 234,523.68

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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.