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Finding the Fourth Proportional to 392,898.78, 589,456.92 and 156,407.52

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Solution

The fourth proportional to 392,898.78, 589,456.92 and 156,407.52 is: 234,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898.78 : 589,456.92 = 156,407.52 : x
  2. Step 2: Convert to fraction form
    392,898.78/589,456.92 = 156,407.52/x
  3. Step 3: Cross multiply
    392,898.78x = 589,456.92 × 156,407.52
  4. Step 4: Simplify right side
    392,898.78x = 92,195,495,004.04
  5. Step 5: Solve for x
    x = 92,195,495,004.04/392,898.78
  6. Step 6: Final answer
    x = 234,654.57

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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.