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Finding the Fourth Proportional to 512,877.13, 707,772.60 and 280,308.76

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Solution

The fourth proportional to 512,877.13, 707,772.60 and 280,308.76 is: 386,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,877.13 : 707,772.60 = 280,308.76 : x
  2. Step 2: Convert to fraction form
    512,877.13/707,772.60 = 280,308.76/x
  3. Step 3: Cross multiply
    512,877.13x = 707,772.60 × 280,308.76
  4. Step 4: Simplify right side
    512,877.13x = 198,394,859,867.98
  5. Step 5: Solve for x
    x = 198,394,859,867.98/512,877.13
  6. Step 6: Final answer
    x = 386,827.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.