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Finding the Fourth Proportional to 292,306.92, 438,201.18 and 142,463.40

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Solution

The fourth proportional to 292,306.92, 438,201.18 and 142,463.40 is: 213,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,306.92 : 438,201.18 = 142,463.40 : x
  2. Step 2: Convert to fraction form
    292,306.92/438,201.18 = 142,463.40/x
  3. Step 3: Cross multiply
    292,306.92x = 438,201.18 × 142,463.40
  4. Step 4: Simplify right side
    292,306.92x = 62,427,629,986.81
  5. Step 5: Solve for x
    x = 62,427,629,986.81/292,306.92
  6. Step 6: Final answer
    x = 213,568.77

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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.