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Finding the Fourth Proportional to 309,672.59, 464,508 and 85,033.26

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Solution

The fourth proportional to 309,672.59, 464,508 and 85,033.26 is: 127,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,672.59 : 464,508 = 85,033.26 : x
  2. Step 2: Convert to fraction form
    309,672.59/464,508 = 85,033.26/x
  3. Step 3: Cross multiply
    309,672.59x = 464,508 × 85,033.26
  4. Step 4: Simplify right side
    309,672.59x = 39,498,629,536.08
  5. Step 5: Solve for x
    x = 39,498,629,536.08/309,672.59
  6. Step 6: Final answer
    x = 127,549.65

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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.