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Finding the Fourth Proportional to 508,540.88, 762,926.52 and 271,758.80

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Solution

The fourth proportional to 508,540.88, 762,926.52 and 271,758.80 is: 407,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,540.88 : 762,926.52 = 271,758.80 : x
  2. Step 2: Convert to fraction form
    508,540.88/762,926.52 = 271,758.80/x
  3. Step 3: Cross multiply
    508,540.88x = 762,926.52 × 271,758.80
  4. Step 4: Simplify right side
    508,540.88x = 207,331,995,563.38
  5. Step 5: Solve for x
    x = 207,331,995,563.38/508,540.88
  6. Step 6: Final answer
    x = 407,699.76

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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.