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Finding the Fourth Proportional to 398,649.30, 550,182.72 and 226,593.12

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Solution

The fourth proportional to 398,649.30, 550,182.72 and 226,593.12 is: 312,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,649.30 : 550,182.72 = 226,593.12 : x
  2. Step 2: Convert to fraction form
    398,649.30/550,182.72 = 226,593.12/x
  3. Step 3: Cross multiply
    398,649.30x = 550,182.72 × 226,593.12
  4. Step 4: Simplify right side
    398,649.30x = 124,667,619,094.89
  5. Step 5: Solve for x
    x = 124,667,619,094.89/398,649.30
  6. Step 6: Final answer
    x = 312,725.04

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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.