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Finding the Fourth Proportional to 465,200.28, 641,899.62 and 274,250.61

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Solution

The fourth proportional to 465,200.28, 641,899.62 and 274,250.61 is: 378,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,200.28 : 641,899.62 = 274,250.61 : x
  2. Step 2: Convert to fraction form
    465,200.28/641,899.62 = 274,250.61/x
  3. Step 3: Cross multiply
    465,200.28x = 641,899.62 × 274,250.61
  4. Step 4: Simplify right side
    465,200.28x = 176,041,362,343.77
  5. Step 5: Solve for x
    x = 176,041,362,343.77/465,200.28
  6. Step 6: Final answer
    x = 378,420.59

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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.