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Finding the Fourth Proportional to 457,134.56, 686,144.08 and 220,643.68

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Solution

The fourth proportional to 457,134.56, 686,144.08 and 220,643.68 is: 331,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,134.56 : 686,144.08 = 220,643.68 : x
  2. Step 2: Convert to fraction form
    457,134.56/686,144.08 = 220,643.68/x
  3. Step 3: Cross multiply
    457,134.56x = 686,144.08 × 220,643.68
  4. Step 4: Simplify right side
    457,134.56x = 151,393,354,821.41
  5. Step 5: Solve for x
    x = 151,393,354,821.41/457,134.56
  6. Step 6: Final answer
    x = 331,178.97

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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.