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Finding the Fourth Proportional to 276,854.67, 382,059.45 and 149,530.32

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Solution

The fourth proportional to 276,854.67, 382,059.45 and 149,530.32 is: 206,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,854.67 : 382,059.45 = 149,530.32 : x
  2. Step 2: Convert to fraction form
    276,854.67/382,059.45 = 149,530.32/x
  3. Step 3: Cross multiply
    276,854.67x = 382,059.45 × 149,530.32
  4. Step 4: Simplify right side
    276,854.67x = 57,129,471,817.52
  5. Step 5: Solve for x
    x = 57,129,471,817.52/276,854.67
  6. Step 6: Final answer
    x = 206,351.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.