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Finding the Fourth Proportional to 378,613.85, 567,086.39 and 312,952.71

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Solution

The fourth proportional to 378,613.85, 567,086.39 and 312,952.71 is: 468,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,613.85 : 567,086.39 = 312,952.71 : x
  2. Step 2: Convert to fraction form
    378,613.85/567,086.39 = 312,952.71/x
  3. Step 3: Cross multiply
    378,613.85x = 567,086.39 × 312,952.71
  4. Step 4: Simplify right side
    378,613.85x = 177,471,220,989.85
  5. Step 5: Solve for x
    x = 177,471,220,989.85/378,613.85
  6. Step 6: Final answer
    x = 468,739.38

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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.