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Finding the Fourth Proportional to 276,513.95, 414,768.20 and 126,711.74

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Solution

The fourth proportional to 276,513.95, 414,768.20 and 126,711.74 is: 190,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,513.95 : 414,768.20 = 126,711.74 : x
  2. Step 2: Convert to fraction form
    276,513.95/414,768.20 = 126,711.74/x
  3. Step 3: Cross multiply
    276,513.95x = 414,768.20 × 126,711.74
  4. Step 4: Simplify right side
    276,513.95x = 52,556,000,722.03
  5. Step 5: Solve for x
    x = 52,556,000,722.03/276,513.95
  6. Step 6: Final answer
    x = 190,066.36

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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.