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Finding the Fourth Proportional to 276,638.20, 414,179.70 and 268,862.20

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Solution

The fourth proportional to 276,638.20, 414,179.70 and 268,862.20 is: 402,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,638.20 : 414,179.70 = 268,862.20 : x
  2. Step 2: Convert to fraction form
    276,638.20/414,179.70 = 268,862.20/x
  3. Step 3: Cross multiply
    276,638.20x = 414,179.70 × 268,862.20
  4. Step 4: Simplify right side
    276,638.20x = 111,357,265,337.34
  5. Step 5: Solve for x
    x = 111,357,265,337.34/276,638.20
  6. Step 6: Final answer
    x = 402,537.56

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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.