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Finding the Fourth Proportional to 276,389.78, 413,920.30 and 157,701.30

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Solution

The fourth proportional to 276,389.78, 413,920.30 and 157,701.30 is: 236,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,389.78 : 413,920.30 = 157,701.30 : x
  2. Step 2: Convert to fraction form
    276,389.78/413,920.30 = 157,701.30/x
  3. Step 3: Cross multiply
    276,389.78x = 413,920.30 × 157,701.30
  4. Step 4: Simplify right side
    276,389.78x = 65,275,769,406.39
  5. Step 5: Solve for x
    x = 65,275,769,406.39/276,389.78
  6. Step 6: Final answer
    x = 236,172.88

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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.