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Finding the Fourth Proportional to 457,753.32, 686,779.02 and 221,123.16

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Solution

The fourth proportional to 457,753.32, 686,779.02 and 221,123.16 is: 331,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,753.32 : 686,779.02 = 221,123.16 : x
  2. Step 2: Convert to fraction form
    457,753.32/686,779.02 = 221,123.16/x
  3. Step 3: Cross multiply
    457,753.32x = 686,779.02 × 221,123.16
  4. Step 4: Simplify right side
    457,753.32x = 151,862,747,124.10
  5. Step 5: Solve for x
    x = 151,862,747,124.10/457,753.32
  6. Step 6: Final answer
    x = 331,756.74

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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.