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Finding the Fourth Proportional to 274,872.87, 412,373.70 and 85,323.96

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Solution

The fourth proportional to 274,872.87, 412,373.70 and 85,323.96 is: 128,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,872.87 : 412,373.70 = 85,323.96 : x
  2. Step 2: Convert to fraction form
    274,872.87/412,373.70 = 85,323.96/x
  3. Step 3: Cross multiply
    274,872.87x = 412,373.70 × 85,323.96
  4. Step 4: Simplify right side
    274,872.87x = 35,185,357,083.85
  5. Step 5: Solve for x
    x = 35,185,357,083.85/274,872.87
  6. Step 6: Final answer
    x = 128,005.93

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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.