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Finding the Fourth Proportional to 391,962, 540,891.90 and 230,823.84

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Solution

The fourth proportional to 391,962, 540,891.90 and 230,823.84 is: 318,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,962 : 540,891.90 = 230,823.84 : x
  2. Step 2: Convert to fraction form
    391,962/540,891.90 = 230,823.84/x
  3. Step 3: Cross multiply
    391,962x = 540,891.90 × 230,823.84
  4. Step 4: Simplify right side
    391,962x = 124,850,745,382.90
  5. Step 5: Solve for x
    x = 124,850,745,382.90/391,962
  6. Step 6: Final answer
    x = 318,527.68

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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.