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Finding the Fourth Proportional to 457,540.40, 686,310.60 and 142,029.20

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Solution

The fourth proportional to 457,540.40, 686,310.60 and 142,029.20 is: 213,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,540.40 : 686,310.60 = 142,029.20 : x
  2. Step 2: Convert to fraction form
    457,540.40/686,310.60 = 142,029.20/x
  3. Step 3: Cross multiply
    457,540.40x = 686,310.60 × 142,029.20
  4. Step 4: Simplify right side
    457,540.40x = 97,476,145,469.52
  5. Step 5: Solve for x
    x = 97,476,145,469.52/457,540.40
  6. Step 6: Final answer
    x = 213,043.80

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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.