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Finding the Fourth Proportional to 273,201.39, 409,703.67 and 115,442.15

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Solution

The fourth proportional to 273,201.39, 409,703.67 and 115,442.15 is: 173,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,201.39 : 409,703.67 = 115,442.15 : x
  2. Step 2: Convert to fraction form
    273,201.39/409,703.67 = 115,442.15/x
  3. Step 3: Cross multiply
    273,201.39x = 409,703.67 × 115,442.15
  4. Step 4: Simplify right side
    273,201.39x = 47,297,070,479.17
  5. Step 5: Solve for x
    x = 47,297,070,479.17/273,201.39
  6. Step 6: Final answer
    x = 173,121.63

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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.