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Finding the Fourth Proportional to 457,372.24, 686,124.78 and 141,854.56

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Solution

The fourth proportional to 457,372.24, 686,124.78 and 141,854.56 is: 212,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,372.24 : 686,124.78 = 141,854.56 : x
  2. Step 2: Convert to fraction form
    457,372.24/686,124.78 = 141,854.56/x
  3. Step 3: Cross multiply
    457,372.24x = 686,124.78 × 141,854.56
  4. Step 4: Simplify right side
    457,372.24x = 97,329,928,772.00
  5. Step 5: Solve for x
    x = 97,329,928,772.00/457,372.24
  6. Step 6: Final answer
    x = 212,802.44

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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.