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Finding the Fourth Proportional to 508,029.29, 762,046.48 and 128,950.14

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Solution

The fourth proportional to 508,029.29, 762,046.48 and 128,950.14 is: 193,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,029.29 : 762,046.48 = 128,950.14 : x
  2. Step 2: Convert to fraction form
    508,029.29/762,046.48 = 128,950.14/x
  3. Step 3: Cross multiply
    508,029.29x = 762,046.48 × 128,950.14
  4. Step 4: Simplify right side
    508,029.29x = 98,265,995,827.52
  5. Step 5: Solve for x
    x = 98,265,995,827.52/508,029.29
  6. Step 6: Final answer
    x = 193,425.85

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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.