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Finding the Fourth Proportional to 311,977.92, 468,229.29 and 292,294.92

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Solution

The fourth proportional to 311,977.92, 468,229.29 and 292,294.92 is: 438,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,977.92 : 468,229.29 = 292,294.92 : x
  2. Step 2: Convert to fraction form
    311,977.92/468,229.29 = 292,294.92/x
  3. Step 3: Cross multiply
    311,977.92x = 468,229.29 × 292,294.92
  4. Step 4: Simplify right side
    311,977.92x = 136,861,042,862.21
  5. Step 5: Solve for x
    x = 136,861,042,862.21/311,977.92
  6. Step 6: Final answer
    x = 438,688.23

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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.