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Finding the Fourth Proportional to 276,725.80, 414,967.20 and 126,916.30

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Solution

The fourth proportional to 276,725.80, 414,967.20 and 126,916.30 is: 190,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,725.80 : 414,967.20 = 126,916.30 : x
  2. Step 2: Convert to fraction form
    276,725.80/414,967.20 = 126,916.30/x
  3. Step 3: Cross multiply
    276,725.80x = 414,967.20 × 126,916.30
  4. Step 4: Simplify right side
    276,725.80x = 52,666,101,645.36
  5. Step 5: Solve for x
    x = 52,666,101,645.36/276,725.80
  6. Step 6: Final answer
    x = 190,318.73

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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.