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Finding the Fourth Proportional to 552,859.29, 762,945.14 and 311,143.61

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Solution

The fourth proportional to 552,859.29, 762,945.14 and 311,143.61 is: 429,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,859.29 : 762,945.14 = 311,143.61 : x
  2. Step 2: Convert to fraction form
    552,859.29/762,945.14 = 311,143.61/x
  3. Step 3: Cross multiply
    552,859.29x = 762,945.14 × 311,143.61
  4. Step 4: Simplify right side
    552,859.29x = 237,385,499,721.11
  5. Step 5: Solve for x
    x = 237,385,499,721.11/552,859.29
  6. Step 6: Final answer
    x = 429,377.79

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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.