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Finding the Fourth Proportional to 265,379.40, 398,233.14 and 107,609.22

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Solution

The fourth proportional to 265,379.40, 398,233.14 and 107,609.22 is: 161,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,379.40 : 398,233.14 = 107,609.22 : x
  2. Step 2: Convert to fraction form
    265,379.40/398,233.14 = 107,609.22/x
  3. Step 3: Cross multiply
    265,379.40x = 398,233.14 × 107,609.22
  4. Step 4: Simplify right side
    265,379.40x = 42,853,557,573.55
  5. Step 5: Solve for x
    x = 42,853,557,573.55/265,379.40
  6. Step 6: Final answer
    x = 161,480.35

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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.