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Finding the Fourth Proportional to 502,682.48, 693,701.88 and 287,893.76

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Solution

The fourth proportional to 502,682.48, 693,701.88 and 287,893.76 is: 397,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,682.48 : 693,701.88 = 287,893.76 : x
  2. Step 2: Convert to fraction form
    502,682.48/693,701.88 = 287,893.76/x
  3. Step 3: Cross multiply
    502,682.48x = 693,701.88 × 287,893.76
  4. Step 4: Simplify right side
    502,682.48x = 199,712,442,552.27
  5. Step 5: Solve for x
    x = 199,712,442,552.27/502,682.48
  6. Step 6: Final answer
    x = 397,293.42

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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.