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Finding the Fourth Proportional to 457,116.54, 686,117.08 and 220,625.70

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Solution

The fourth proportional to 457,116.54, 686,117.08 and 220,625.70 is: 331,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,116.54 : 686,117.08 = 220,625.70 : x
  2. Step 2: Convert to fraction form
    457,116.54/686,117.08 = 220,625.70/x
  3. Step 3: Cross multiply
    457,116.54x = 686,117.08 × 220,625.70
  4. Step 4: Simplify right side
    457,116.54x = 151,375,061,056.96
  5. Step 5: Solve for x
    x = 151,375,061,056.96/457,116.54
  6. Step 6: Final answer
    x = 331,152.01

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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.