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Finding the Fourth Proportional to 457,635.60, 686,647.80 and 220,856.40

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Solution

The fourth proportional to 457,635.60, 686,647.80 and 220,856.40 is: 331,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,635.60 : 686,647.80 = 220,856.40 : x
  2. Step 2: Convert to fraction form
    457,635.60/686,647.80 = 220,856.40/x
  3. Step 3: Cross multiply
    457,635.60x = 686,647.80 × 220,856.40
  4. Step 4: Simplify right side
    457,635.60x = 151,650,561,175.92
  5. Step 5: Solve for x
    x = 151,650,561,175.92/457,635.60
  6. Step 6: Final answer
    x = 331,378.42

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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.