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Finding the Fourth Proportional to 276,747.79, 381,912.65 and 160,483.80

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Solution

The fourth proportional to 276,747.79, 381,912.65 and 160,483.80 is: 221,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,747.79 : 381,912.65 = 160,483.80 : x
  2. Step 2: Convert to fraction form
    276,747.79/381,912.65 = 160,483.80/x
  3. Step 3: Cross multiply
    276,747.79x = 381,912.65 × 160,483.80
  4. Step 4: Simplify right side
    276,747.79x = 61,290,793,340.07
  5. Step 5: Solve for x
    x = 61,290,793,340.07/276,747.79
  6. Step 6: Final answer
    x = 221,468.05

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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.