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Finding the Fourth Proportional to 407,138.25, 610,711.29 and 154,350.75

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Solution

The fourth proportional to 407,138.25, 610,711.29 and 154,350.75 is: 231,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.25 : 610,711.29 = 154,350.75 : x
  2. Step 2: Convert to fraction form
    407,138.25/610,711.29 = 154,350.75/x
  3. Step 3: Cross multiply
    407,138.25x = 610,711.29 × 154,350.75
  4. Step 4: Simplify right side
    407,138.25x = 94,263,745,644.97
  5. Step 5: Solve for x
    x = 94,263,745,644.97/407,138.25
  6. Step 6: Final answer
    x = 231,527.61

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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.