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Finding the Fourth Proportional to 276,427.16, 414,594.49 and 76,767.73

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Solution

The fourth proportional to 276,427.16, 414,594.49 and 76,767.73 is: 115,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,427.16 : 414,594.49 = 76,767.73 : x
  2. Step 2: Convert to fraction form
    276,427.16/414,594.49 = 76,767.73/x
  3. Step 3: Cross multiply
    276,427.16x = 414,594.49 × 76,767.73
  4. Step 4: Simplify right side
    276,427.16x = 31,827,477,867.81
  5. Step 5: Solve for x
    x = 31,827,477,867.81/276,427.16
  6. Step 6: Final answer
    x = 115,138.75

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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.