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Finding the Fourth Proportional to 309,216.72, 463,839.05 and 84,572.13

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Solution

The fourth proportional to 309,216.72, 463,839.05 and 84,572.13 is: 126,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.72 : 463,839.05 = 84,572.13 : x
  2. Step 2: Convert to fraction form
    309,216.72/463,839.05 = 84,572.13/x
  3. Step 3: Cross multiply
    309,216.72x = 463,839.05 × 84,572.13
  4. Step 4: Simplify right side
    309,216.72x = 39,227,856,435.68
  5. Step 5: Solve for x
    x = 39,227,856,435.68/309,216.72
  6. Step 6: Final answer
    x = 126,862.02

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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.