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Finding the Fourth Proportional to 457,687.24, 686,522.22 and 142,137.16

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Solution

The fourth proportional to 457,687.24, 686,522.22 and 142,137.16 is: 213,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,687.24 : 686,522.22 = 142,137.16 : x
  2. Step 2: Convert to fraction form
    457,687.24/686,522.22 = 142,137.16/x
  3. Step 3: Cross multiply
    457,687.24x = 686,522.22 × 142,137.16
  4. Step 4: Simplify right side
    457,687.24x = 97,580,318,627.70
  5. Step 5: Solve for x
    x = 97,580,318,627.70/457,687.24
  6. Step 6: Final answer
    x = 213,203.06

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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.