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Finding the Fourth Proportional to 372,178.88, 513,601.20 and 202,409.12

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Solution

The fourth proportional to 372,178.88, 513,601.20 and 202,409.12 is: 279,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,178.88 : 513,601.20 = 202,409.12 : x
  2. Step 2: Convert to fraction form
    372,178.88/513,601.20 = 202,409.12/x
  3. Step 3: Cross multiply
    372,178.88x = 513,601.20 × 202,409.12
  4. Step 4: Simplify right side
    372,178.88x = 103,957,566,922.94
  5. Step 5: Solve for x
    x = 103,957,566,922.94/372,178.88
  6. Step 6: Final answer
    x = 279,321.51

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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.