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Finding the Fourth Proportional to 247,896, 342,997.20 and 216,131.04

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Solution

The fourth proportional to 247,896, 342,997.20 and 216,131.04 is: 299,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,896 : 342,997.20 = 216,131.04 : x
  2. Step 2: Convert to fraction form
    247,896/342,997.20 = 216,131.04/x
  3. Step 3: Cross multiply
    247,896x = 342,997.20 × 216,131.04
  4. Step 4: Simplify right side
    247,896x = 74,132,341,553.09
  5. Step 5: Solve for x
    x = 74,132,341,553.09/247,896
  6. Step 6: Final answer
    x = 299,046.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.