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Finding the Fourth Proportional to 391,643.90, 587,346.24 and 270,840.96

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Solution

The fourth proportional to 391,643.90, 587,346.24 and 270,840.96 is: 406,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,643.90 : 587,346.24 = 270,840.96 : x
  2. Step 2: Convert to fraction form
    391,643.90/587,346.24 = 270,840.96/x
  3. Step 3: Cross multiply
    391,643.90x = 587,346.24 × 270,840.96
  4. Step 4: Simplify right side
    391,643.90x = 159,077,419,493.99
  5. Step 5: Solve for x
    x = 159,077,419,493.99/391,643.90
  6. Step 6: Final answer
    x = 406,178.72

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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.