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Finding the Fourth Proportional to 276,256.17, 414,343.26 and 76,555.74

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Solution

The fourth proportional to 276,256.17, 414,343.26 and 76,555.74 is: 114,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,256.17 : 414,343.26 = 76,555.74 : x
  2. Step 2: Convert to fraction form
    276,256.17/414,343.26 = 76,555.74/x
  3. Step 3: Cross multiply
    276,256.17x = 414,343.26 × 76,555.74
  4. Step 4: Simplify right side
    276,256.17x = 31,720,354,883.31
  5. Step 5: Solve for x
    x = 31,720,354,883.31/276,256.17
  6. Step 6: Final answer
    x = 114,822.25

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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.