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Finding the Fourth Proportional to 457,691.36, 686,583.18 and 120,755.30

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Solution

The fourth proportional to 457,691.36, 686,583.18 and 120,755.30 is: 181,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,691.36 : 686,583.18 = 120,755.30 : x
  2. Step 2: Convert to fraction form
    457,691.36/686,583.18 = 120,755.30/x
  3. Step 3: Cross multiply
    457,691.36x = 686,583.18 × 120,755.30
  4. Step 4: Simplify right side
    457,691.36x = 82,908,557,875.85
  5. Step 5: Solve for x
    x = 82,908,557,875.85/457,691.36
  6. Step 6: Final answer
    x = 181,145.12

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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.