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Finding the Fourth Proportional to 491,314.86, 735,791.25 and 280,313.10

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Solution

The fourth proportional to 491,314.86, 735,791.25 and 280,313.10 is: 419,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,314.86 : 735,791.25 = 280,313.10 : x
  2. Step 2: Convert to fraction form
    491,314.86/735,791.25 = 280,313.10/x
  3. Step 3: Cross multiply
    491,314.86x = 735,791.25 × 280,313.10
  4. Step 4: Simplify right side
    491,314.86x = 206,251,926,240.38
  5. Step 5: Solve for x
    x = 206,251,926,240.38/491,314.86
  6. Step 6: Final answer
    x = 419,795.82

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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.