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Finding the Fourth Proportional to 266,251.74, 399,640.05 and 161,275.74

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Solution

The fourth proportional to 266,251.74, 399,640.05 and 161,275.74 is: 242,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,251.74 : 399,640.05 = 161,275.74 : x
  2. Step 2: Convert to fraction form
    266,251.74/399,640.05 = 161,275.74/x
  3. Step 3: Cross multiply
    266,251.74x = 399,640.05 × 161,275.74
  4. Step 4: Simplify right side
    266,251.74x = 64,452,244,797.39
  5. Step 5: Solve for x
    x = 64,452,244,797.39/266,251.74
  6. Step 6: Final answer
    x = 242,072.58

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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.