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Finding the Fourth Proportional to 274,937.77, 412,471.19 and 85,388.32

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Solution

The fourth proportional to 274,937.77, 412,471.19 and 85,388.32 is: 128,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,937.77 : 412,471.19 = 85,388.32 : x
  2. Step 2: Convert to fraction form
    274,937.77/412,471.19 = 85,388.32/x
  3. Step 3: Cross multiply
    274,937.77x = 412,471.19 × 85,388.32
  4. Step 4: Simplify right side
    274,937.77x = 35,220,221,535.56
  5. Step 5: Solve for x
    x = 35,220,221,535.56/274,937.77
  6. Step 6: Final answer
    x = 128,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.