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Finding the Fourth Proportional to 276,776.20, 415,237.20 and 99,264.70

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Solution

The fourth proportional to 276,776.20, 415,237.20 and 99,264.70 is: 148,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,776.20 : 415,237.20 = 99,264.70 : x
  2. Step 2: Convert to fraction form
    276,776.20/415,237.20 = 99,264.70/x
  3. Step 3: Cross multiply
    276,776.20x = 415,237.20 × 99,264.70
  4. Step 4: Simplify right side
    276,776.20x = 41,218,396,086.84
  5. Step 5: Solve for x
    x = 41,218,396,086.84/276,776.20
  6. Step 6: Final answer
    x = 148,923.20

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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.