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Finding the Fourth Proportional to 457,073.54, 686,052.57 and 220,582.70

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Solution

The fourth proportional to 457,073.54, 686,052.57 and 220,582.70 is: 331,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,073.54 : 686,052.57 = 220,582.70 : x
  2. Step 2: Convert to fraction form
    457,073.54/686,052.57 = 220,582.70/x
  3. Step 3: Cross multiply
    457,073.54x = 686,052.57 × 220,582.70
  4. Step 4: Simplify right side
    457,073.54x = 151,331,328,232.54
  5. Step 5: Solve for x
    x = 151,331,328,232.54/457,073.54
  6. Step 6: Final answer
    x = 331,087.48

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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.