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Finding the Fourth Proportional to 512,948.73, 707,847.21 and 283,494.15

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Solution

The fourth proportional to 512,948.73, 707,847.21 and 283,494.15 is: 391,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,948.73 : 707,847.21 = 283,494.15 : x
  2. Step 2: Convert to fraction form
    512,948.73/707,847.21 = 283,494.15/x
  3. Step 3: Cross multiply
    512,948.73x = 707,847.21 × 283,494.15
  4. Step 4: Simplify right side
    512,948.73x = 200,670,543,128.82
  5. Step 5: Solve for x
    x = 200,670,543,128.82/512,948.73
  6. Step 6: Final answer
    x = 391,209.75

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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.