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Finding the Fourth Proportional to 276,696.83, 381,842.39 and 160,432.88

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Solution

The fourth proportional to 276,696.83, 381,842.39 and 160,432.88 is: 221,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,696.83 : 381,842.39 = 160,432.88 : x
  2. Step 2: Convert to fraction form
    276,696.83/381,842.39 = 160,432.88/x
  3. Step 3: Cross multiply
    276,696.83x = 381,842.39 × 160,432.88
  4. Step 4: Simplify right side
    276,696.83x = 61,260,072,825.65
  5. Step 5: Solve for x
    x = 61,260,072,825.65/276,696.83
  6. Step 6: Final answer
    x = 221,397.81

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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.