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Finding the Fourth Proportional to 276,356.40, 414,510.78 and 168,257.75

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Solution

The fourth proportional to 276,356.40, 414,510.78 and 168,257.75 is: 252,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,356.40 : 414,510.78 = 168,257.75 : x
  2. Step 2: Convert to fraction form
    276,356.40/414,510.78 = 168,257.75/x
  3. Step 3: Cross multiply
    276,356.40x = 414,510.78 × 168,257.75
  4. Step 4: Simplify right side
    276,356.40x = 69,744,648,279.70
  5. Step 5: Solve for x
    x = 69,744,648,279.70/276,356.40
  6. Step 6: Final answer
    x = 252,372.12

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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.