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Finding the Fourth Proportional to 259,696.30, 390,229.43 and 139,841.86

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Solution

The fourth proportional to 259,696.30, 390,229.43 and 139,841.86 is: 210,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,696.30 : 390,229.43 = 139,841.86 : x
  2. Step 2: Convert to fraction form
    259,696.30/390,229.43 = 139,841.86/x
  3. Step 3: Cross multiply
    259,696.30x = 390,229.43 × 139,841.86
  4. Step 4: Simplify right side
    259,696.30x = 54,570,408,618.73
  5. Step 5: Solve for x
    x = 54,570,408,618.73/259,696.30
  6. Step 6: Final answer
    x = 210,131.64

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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.