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Finding the Fourth Proportional to 276,077.62, 414,125.68 and 76,381.30

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Solution

The fourth proportional to 276,077.62, 414,125.68 and 76,381.30 is: 114,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,077.62 : 414,125.68 = 76,381.30 : x
  2. Step 2: Convert to fraction form
    276,077.62/414,125.68 = 76,381.30/x
  3. Step 3: Cross multiply
    276,077.62x = 414,125.68 × 76,381.30
  4. Step 4: Simplify right side
    276,077.62x = 31,631,457,801.78
  5. Step 5: Solve for x
    x = 31,631,457,801.78/276,077.62
  6. Step 6: Final answer
    x = 114,574.51

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1.5x scale

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.