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Finding the Fourth Proportional to 702,725.12, 969,367.20 and 415,965.68

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Solution

The fourth proportional to 702,725.12, 969,367.20 and 415,965.68 is: 573,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,725.12 : 969,367.20 = 415,965.68 : x
  2. Step 2: Convert to fraction form
    702,725.12/969,367.20 = 415,965.68/x
  3. Step 3: Cross multiply
    702,725.12x = 969,367.20 × 415,965.68
  4. Step 4: Simplify right side
    702,725.12x = 403,223,486,517.70
  5. Step 5: Solve for x
    x = 403,223,486,517.70/702,725.12
  6. Step 6: Final answer
    x = 573,799.73

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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.