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Finding the Fourth Proportional to 457,500.75, 686,295.47 and 141,872.91

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Solution

The fourth proportional to 457,500.75, 686,295.47 and 141,872.91 is: 212,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,500.75 : 686,295.47 = 141,872.91 : x
  2. Step 2: Convert to fraction form
    457,500.75/686,295.47 = 141,872.91/x
  3. Step 3: Cross multiply
    457,500.75x = 686,295.47 × 141,872.91
  4. Step 4: Simplify right side
    457,500.75x = 97,366,735,448.72
  5. Step 5: Solve for x
    x = 97,366,735,448.72/457,500.75
  6. Step 6: Final answer
    x = 212,823.12

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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.