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Finding the Fourth Proportional to 310,412.67, 428,524.49 and 203,146.55

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Solution

The fourth proportional to 310,412.67, 428,524.49 and 203,146.55 is: 280,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,412.67 : 428,524.49 = 203,146.55 : x
  2. Step 2: Convert to fraction form
    310,412.67/428,524.49 = 203,146.55/x
  3. Step 3: Cross multiply
    310,412.67x = 428,524.49 × 203,146.55
  4. Step 4: Simplify right side
    310,412.67x = 87,053,269,591.39
  5. Step 5: Solve for x
    x = 87,053,269,591.39/310,412.67
  6. Step 6: Final answer
    x = 280,443.68

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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.