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Finding the Fourth Proportional to 458,950.89, 687,842.19 and 259,382.55

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Solution

The fourth proportional to 458,950.89, 687,842.19 and 259,382.55 is: 388,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,950.89 : 687,842.19 = 259,382.55 : x
  2. Step 2: Convert to fraction form
    458,950.89/687,842.19 = 259,382.55/x
  3. Step 3: Cross multiply
    458,950.89x = 687,842.19 × 259,382.55
  4. Step 4: Simplify right side
    458,950.89x = 178,414,261,239.79
  5. Step 5: Solve for x
    x = 178,414,261,239.79/458,950.89
  6. Step 6: Final answer
    x = 388,743.69

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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.