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Finding the Fourth Proportional to 276,195.60, 414,269.10 and 76,498.20

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Solution

The fourth proportional to 276,195.60, 414,269.10 and 76,498.20 is: 114,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,195.60 : 414,269.10 = 76,498.20 : x
  2. Step 2: Convert to fraction form
    276,195.60/414,269.10 = 76,498.20/x
  3. Step 3: Cross multiply
    276,195.60x = 414,269.10 × 76,498.20
  4. Step 4: Simplify right side
    276,195.60x = 31,690,840,465.62
  5. Step 5: Solve for x
    x = 31,690,840,465.62/276,195.60
  6. Step 6: Final answer
    x = 114,740.57

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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.