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Finding the Fourth Proportional to 342,227.43, 513,472.37 and 142,494.19

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Solution

The fourth proportional to 342,227.43, 513,472.37 and 142,494.19 is: 213,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.43 : 513,472.37 = 142,494.19 : x
  2. Step 2: Convert to fraction form
    342,227.43/513,472.37 = 142,494.19/x
  3. Step 3: Cross multiply
    342,227.43x = 513,472.37 × 142,494.19
  4. Step 4: Simplify right side
    342,227.43x = 73,166,827,454.38
  5. Step 5: Solve for x
    x = 73,166,827,454.38/342,227.43
  6. Step 6: Final answer
    x = 213,795.92

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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.