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Finding the Fourth Proportional to 276,387.78, 413,917.30 and 157,699.29

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Solution

The fourth proportional to 276,387.78, 413,917.30 and 157,699.29 is: 236,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,387.78 : 413,917.30 = 157,699.29 : x
  2. Step 2: Convert to fraction form
    276,387.78/413,917.30 = 157,699.29/x
  3. Step 3: Cross multiply
    276,387.78x = 413,917.30 × 157,699.29
  4. Step 4: Simplify right side
    276,387.78x = 65,274,464,328.72
  5. Step 5: Solve for x
    x = 65,274,464,328.72/276,387.78
  6. Step 6: Final answer
    x = 236,169.86

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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.