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Finding the Fourth Proportional to 508,031.30, 762,049.48 and 128,952.14

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Solution

The fourth proportional to 508,031.30, 762,049.48 and 128,952.14 is: 193,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,031.30 : 762,049.48 = 128,952.14 : x
  2. Step 2: Convert to fraction form
    508,031.30/762,049.48 = 128,952.14/x
  3. Step 3: Cross multiply
    508,031.30x = 762,049.48 × 128,952.14
  4. Step 4: Simplify right side
    508,031.30x = 98,267,911,231.89
  5. Step 5: Solve for x
    x = 98,267,911,231.89/508,031.30
  6. Step 6: Final answer
    x = 193,428.85

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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.