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Finding the Fourth Proportional to 292,495.38, 438,687.58 and 142,584.90

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Solution

The fourth proportional to 292,495.38, 438,687.58 and 142,584.90 is: 213,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,495.38 : 438,687.58 = 142,584.90 : x
  2. Step 2: Convert to fraction form
    292,495.38/438,687.58 = 142,584.90/x
  3. Step 3: Cross multiply
    292,495.38x = 438,687.58 × 142,584.90
  4. Step 4: Simplify right side
    292,495.38x = 62,550,221,819.18
  5. Step 5: Solve for x
    x = 62,550,221,819.18/292,495.38
  6. Step 6: Final answer
    x = 213,850.29

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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.