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Finding the Fourth Proportional to 276,146.88, 414,221.40 and 84,023.22

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Solution

The fourth proportional to 276,146.88, 414,221.40 and 84,023.22 is: 126,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,146.88 : 414,221.40 = 84,023.22 : x
  2. Step 2: Convert to fraction form
    276,146.88/414,221.40 = 84,023.22/x
  3. Step 3: Cross multiply
    276,146.88x = 414,221.40 × 84,023.22
  4. Step 4: Simplify right side
    276,146.88x = 34,804,215,820.91
  5. Step 5: Solve for x
    x = 34,804,215,820.91/276,146.88
  6. Step 6: Final answer
    x = 126,035.16

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1.5x scale

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.