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Finding the Fourth Proportional to 322,657.78, 482,569.98 and 287,367.70

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Solution

The fourth proportional to 322,657.78, 482,569.98 and 287,367.70 is: 429,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,657.78 : 482,569.98 = 287,367.70 : x
  2. Step 2: Convert to fraction form
    322,657.78/482,569.98 = 287,367.70/x
  3. Step 3: Cross multiply
    322,657.78x = 482,569.98 × 287,367.70
  4. Step 4: Simplify right side
    322,657.78x = 138,675,025,241.65
  5. Step 5: Solve for x
    x = 138,675,025,241.65/322,657.78
  6. Step 6: Final answer
    x = 429,789.81

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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.