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Finding the Fourth Proportional to 457,893.52, 686,796.48 and 280,309.12

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Solution

The fourth proportional to 457,893.52, 686,796.48 and 280,309.12 is: 420,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,893.52 : 686,796.48 = 280,309.12 : x
  2. Step 2: Convert to fraction form
    457,893.52/686,796.48 = 280,309.12/x
  3. Step 3: Cross multiply
    457,893.52x = 686,796.48 × 280,309.12
  4. Step 4: Simplify right side
    457,893.52x = 192,515,316,927.90
  5. Step 5: Solve for x
    x = 192,515,316,927.90/457,893.52
  6. Step 6: Final answer
    x = 420,436.87

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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.