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Finding the Fourth Proportional to 372,213.40, 513,629.22 and 202,443.88

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Solution

The fourth proportional to 372,213.40, 513,629.22 and 202,443.88 is: 279,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,213.40 : 513,629.22 = 202,443.88 : x
  2. Step 2: Convert to fraction form
    372,213.40/513,629.22 = 202,443.88/x
  3. Step 3: Cross multiply
    372,213.40x = 513,629.22 × 202,443.88
  4. Step 4: Simplify right side
    372,213.40x = 103,981,092,178.17
  5. Step 5: Solve for x
    x = 103,981,092,178.17/372,213.40
  6. Step 6: Final answer
    x = 279,358.81

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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.