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Finding the Fourth Proportional to 512,824.25, 707,695.71 and 283,375.15

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Solution

The fourth proportional to 512,824.25, 707,695.71 and 283,375.15 is: 391,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,824.25 : 707,695.71 = 283,375.15 : x
  2. Step 2: Convert to fraction form
    512,824.25/707,695.71 = 283,375.15/x
  3. Step 3: Cross multiply
    512,824.25x = 707,695.71 × 283,375.15
  4. Step 4: Simplify right side
    512,824.25x = 200,543,374,437.13
  5. Step 5: Solve for x
    x = 200,543,374,437.13/512,824.25
  6. Step 6: Final answer
    x = 391,056.73

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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.