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Finding the Fourth Proportional to 309,687.12, 464,531.28 and 85,050.48

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Solution

The fourth proportional to 309,687.12, 464,531.28 and 85,050.48 is: 127,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,687.12 : 464,531.28 = 85,050.48 : x
  2. Step 2: Convert to fraction form
    309,687.12/464,531.28 = 85,050.48/x
  3. Step 3: Cross multiply
    309,687.12x = 464,531.28 × 85,050.48
  4. Step 4: Simplify right side
    309,687.12x = 39,508,608,339.01
  5. Step 5: Solve for x
    x = 39,508,608,339.01/309,687.12
  6. Step 6: Final answer
    x = 127,575.88

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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.