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Finding the Fourth Proportional to 276,098.70, 414,148.05 and 266,475.90

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Solution

The fourth proportional to 276,098.70, 414,148.05 and 266,475.90 is: 399,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,098.70 : 414,148.05 = 266,475.90 : x
  2. Step 2: Convert to fraction form
    276,098.70/414,148.05 = 266,475.90/x
  3. Step 3: Cross multiply
    276,098.70x = 414,148.05 × 266,475.90
  4. Step 4: Simplify right side
    276,098.70x = 110,360,474,357.00
  5. Step 5: Solve for x
    x = 110,360,474,357.00/276,098.70
  6. Step 6: Final answer
    x = 399,713.85

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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.