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Finding the Fourth Proportional to 292,711.39, 438,765.12 and 142,766.42

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Solution

The fourth proportional to 292,711.39, 438,765.12 and 142,766.42 is: 214,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,711.39 : 438,765.12 = 142,766.42 : x
  2. Step 2: Convert to fraction form
    292,711.39/438,765.12 = 142,766.42/x
  3. Step 3: Cross multiply
    292,711.39x = 438,765.12 × 142,766.42
  4. Step 4: Simplify right side
    292,711.39x = 62,640,923,209.44
  5. Step 5: Solve for x
    x = 62,640,923,209.44/292,711.39
  6. Step 6: Final answer
    x = 214,002.34

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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.