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Finding the Fourth Proportional to 502,789.20, 693,651.54 and 287,813.52

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Solution

The fourth proportional to 502,789.20, 693,651.54 and 287,813.52 is: 397,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,789.20 : 693,651.54 = 287,813.52 : x
  2. Step 2: Convert to fraction form
    502,789.20/693,651.54 = 287,813.52/x
  3. Step 3: Cross multiply
    502,789.20x = 693,651.54 × 287,813.52
  4. Step 4: Simplify right side
    502,789.20x = 199,642,291,380.82
  5. Step 5: Solve for x
    x = 199,642,291,380.82/502,789.20
  6. Step 6: Final answer
    x = 397,069.57

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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.