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Finding the Fourth Proportional to 457,695.90, 686,543.85 and 142,184.70

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Solution

The fourth proportional to 457,695.90, 686,543.85 and 142,184.70 is: 213,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695.90 : 686,543.85 = 142,184.70 : x
  2. Step 2: Convert to fraction form
    457,695.90/686,543.85 = 142,184.70/x
  3. Step 3: Cross multiply
    457,695.90x = 686,543.85 × 142,184.70
  4. Step 4: Simplify right side
    457,695.90x = 97,616,031,349.10
  5. Step 5: Solve for x
    x = 97,616,031,349.10/457,695.90
  6. Step 6: Final answer
    x = 213,277.05

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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.