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Finding the Fourth Proportional to 457,117.54, 686,118.58 and 220,626.70

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Solution

The fourth proportional to 457,117.54, 686,118.58 and 220,626.70 is: 331,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,117.54 : 686,118.58 = 220,626.70 : x
  2. Step 2: Convert to fraction form
    457,117.54/686,118.58 = 220,626.70/x
  3. Step 3: Cross multiply
    457,117.54x = 686,118.58 × 220,626.70
  4. Step 4: Simplify right side
    457,117.54x = 151,376,078,114.09
  5. Step 5: Solve for x
    x = 151,376,078,114.09/457,117.54
  6. Step 6: Final answer
    x = 331,153.51

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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.