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Finding the Fourth Proportional to 398,649.28, 550,182.71 and 226,593.13

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Solution

The fourth proportional to 398,649.28, 550,182.71 and 226,593.13 is: 312,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,649.28 : 550,182.71 = 226,593.13 : x
  2. Step 2: Convert to fraction form
    398,649.28/550,182.71 = 226,593.13/x
  3. Step 3: Cross multiply
    398,649.28x = 550,182.71 × 226,593.13
  4. Step 4: Simplify right side
    398,649.28x = 124,667,622,330.78
  5. Step 5: Solve for x
    x = 124,667,622,330.78/398,649.28
  6. Step 6: Final answer
    x = 312,725.07

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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.