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Finding the Fourth Proportional to 231,482.68, 319,375.22 and 150,880.78

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Solution

The fourth proportional to 231,482.68, 319,375.22 and 150,880.78 is: 208,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,482.68 : 319,375.22 = 150,880.78 : x
  2. Step 2: Convert to fraction form
    231,482.68/319,375.22 = 150,880.78/x
  3. Step 3: Cross multiply
    231,482.68x = 319,375.22 × 150,880.78
  4. Step 4: Simplify right side
    231,482.68x = 48,187,582,306.27
  5. Step 5: Solve for x
    x = 48,187,582,306.27/231,482.68
  6. Step 6: Final answer
    x = 208,169.28

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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.