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Finding the Fourth Proportional to 292,142.71, 438,209.49 and 149,905.93

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Solution

The fourth proportional to 292,142.71, 438,209.49 and 149,905.93 is: 224,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,142.71 : 438,209.49 = 149,905.93 : x
  2. Step 2: Convert to fraction form
    292,142.71/438,209.49 = 149,905.93/x
  3. Step 3: Cross multiply
    292,142.71x = 438,209.49 × 149,905.93
  4. Step 4: Simplify right side
    292,142.71x = 65,690,201,133.28
  5. Step 5: Solve for x
    x = 65,690,201,133.28/292,142.71
  6. Step 6: Final answer
    x = 224,856.55

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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.