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Finding the Fourth Proportional to 292,387.40, 438,227.88 and 142,402.88

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Solution

The fourth proportional to 292,387.40, 438,227.88 and 142,402.88 is: 213,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,387.40 : 438,227.88 = 142,402.88 : x
  2. Step 2: Convert to fraction form
    292,387.40/438,227.88 = 142,402.88/x
  3. Step 3: Cross multiply
    292,387.40x = 438,227.88 × 142,402.88
  4. Step 4: Simplify right side
    292,387.40x = 62,404,912,208.29
  5. Step 5: Solve for x
    x = 62,404,912,208.29/292,387.40
  6. Step 6: Final answer
    x = 213,432.29

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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.