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Finding the Fourth Proportional to 457,901.52, 686,808.48 and 280,317.12

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Solution

The fourth proportional to 457,901.52, 686,808.48 and 280,317.12 is: 420,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,901.52 : 686,808.48 = 280,317.12 : x
  2. Step 2: Convert to fraction form
    457,901.52/686,808.48 = 280,317.12/x
  3. Step 3: Cross multiply
    457,901.52x = 686,808.48 × 280,317.12
  4. Step 4: Simplify right side
    457,901.52x = 192,524,175,105.18
  5. Step 5: Solve for x
    x = 192,524,175,105.18/457,901.52
  6. Step 6: Final answer
    x = 420,448.87

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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.