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Finding the Fourth Proportional to 457,665.52, 686,437.94 and 120,732.52

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Solution

The fourth proportional to 457,665.52, 686,437.94 and 120,732.52 is: 181,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,665.52 : 686,437.94 = 120,732.52 : x
  2. Step 2: Convert to fraction form
    457,665.52/686,437.94 = 120,732.52/x
  3. Step 3: Cross multiply
    457,665.52x = 686,437.94 × 120,732.52
  4. Step 4: Simplify right side
    457,665.52x = 82,875,382,319.81
  5. Step 5: Solve for x
    x = 82,875,382,319.81/457,665.52
  6. Step 6: Final answer
    x = 181,082.86

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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.