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Finding the Fourth Proportional to 290,251.65, 435,382.49 and 100,718.64

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Solution

The fourth proportional to 290,251.65, 435,382.49 and 100,718.64 is: 151,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,251.65 : 435,382.49 = 100,718.64 : x
  2. Step 2: Convert to fraction form
    290,251.65/435,382.49 = 100,718.64/x
  3. Step 3: Cross multiply
    290,251.65x = 435,382.49 × 100,718.64
  4. Step 4: Simplify right side
    290,251.65x = 43,851,132,524.41
  5. Step 5: Solve for x
    x = 43,851,132,524.41/290,251.65
  6. Step 6: Final answer
    x = 151,079.70

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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.