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Finding the Fourth Proportional to 276,402.90, 414,606.68 and 76,738.86

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Solution

The fourth proportional to 276,402.90, 414,606.68 and 76,738.86 is: 115,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,402.90 : 414,606.68 = 76,738.86 : x
  2. Step 2: Convert to fraction form
    276,402.90/414,606.68 = 76,738.86/x
  3. Step 3: Cross multiply
    276,402.90x = 414,606.68 × 76,738.86
  4. Step 4: Simplify right side
    276,402.90x = 31,816,443,587.89
  5. Step 5: Solve for x
    x = 31,816,443,587.89/276,402.90
  6. Step 6: Final answer
    x = 115,108.93

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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.