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Finding the Fourth Proportional to 309,713.52, 464,564.82 and 85,073.09

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Solution

The fourth proportional to 309,713.52, 464,564.82 and 85,073.09 is: 127,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,713.52 : 464,564.82 = 85,073.09 : x
  2. Step 2: Convert to fraction form
    309,713.52/464,564.82 = 85,073.09/x
  3. Step 3: Cross multiply
    309,713.52x = 464,564.82 × 85,073.09
  4. Step 4: Simplify right side
    309,713.52x = 39,521,962,260.36
  5. Step 5: Solve for x
    x = 39,521,962,260.36/309,713.52
  6. Step 6: Final answer
    x = 127,608.13

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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.