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Finding the Fourth Proportional to 457,359.18, 686,111.49 and 141,750.78

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Solution

The fourth proportional to 457,359.18, 686,111.49 and 141,750.78 is: 212,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,359.18 : 686,111.49 = 141,750.78 : x
  2. Step 2: Convert to fraction form
    457,359.18/686,111.49 = 141,750.78/x
  3. Step 3: Cross multiply
    457,359.18x = 686,111.49 × 141,750.78
  4. Step 4: Simplify right side
    457,359.18x = 97,256,838,874.46
  5. Step 5: Solve for x
    x = 97,256,838,874.46/457,359.18
  6. Step 6: Final answer
    x = 212,648.71

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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.