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Finding the Fourth Proportional to 276,480.78, 414,750.78 and 76,801.74

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Solution

The fourth proportional to 276,480.78, 414,750.78 and 76,801.74 is: 115,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,480.78 : 414,750.78 = 76,801.74 : x
  2. Step 2: Convert to fraction form
    276,480.78/414,750.78 = 76,801.74/x
  3. Step 3: Cross multiply
    276,480.78x = 414,750.78 × 76,801.74
  4. Step 4: Simplify right side
    276,480.78x = 31,853,581,570.36
  5. Step 5: Solve for x
    x = 31,853,581,570.36/276,480.78
  6. Step 6: Final answer
    x = 115,210.84

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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.