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Finding the Fourth Proportional to 402,190.50, 555,057.12 and 227,791.72

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Solution

The fourth proportional to 402,190.50, 555,057.12 and 227,791.72 is: 314,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,190.50 : 555,057.12 = 227,791.72 : x
  2. Step 2: Convert to fraction form
    402,190.50/555,057.12 = 227,791.72/x
  3. Step 3: Cross multiply
    402,190.50x = 555,057.12 × 227,791.72
  4. Step 4: Simplify right side
    402,190.50x = 126,437,416,729.83
  5. Step 5: Solve for x
    x = 126,437,416,729.83/402,190.50
  6. Step 6: Final answer
    x = 314,371.96

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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.