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Finding the Fourth Proportional to 276,515.59, 414,773.15 and 76,835.88

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Solution

The fourth proportional to 276,515.59, 414,773.15 and 76,835.88 is: 115,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,515.59 : 414,773.15 = 76,835.88 : x
  2. Step 2: Convert to fraction form
    276,515.59/414,773.15 = 76,835.88/x
  3. Step 3: Cross multiply
    276,515.59x = 414,773.15 × 76,835.88
  4. Step 4: Simplify right side
    276,515.59x = 31,869,459,980.62
  5. Step 5: Solve for x
    x = 31,869,459,980.62/276,515.59
  6. Step 6: Final answer
    x = 115,253.75

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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.