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Finding the Fourth Proportional to 270,319.40, 405,645.86 and 137,295.13

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Solution

The fourth proportional to 270,319.40, 405,645.86 and 137,295.13 is: 206,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,319.40 : 405,645.86 = 137,295.13 : x
  2. Step 2: Convert to fraction form
    270,319.40/405,645.86 = 137,295.13/x
  3. Step 3: Cross multiply
    270,319.40x = 405,645.86 × 137,295.13
  4. Step 4: Simplify right side
    270,319.40x = 55,693,201,082.66
  5. Step 5: Solve for x
    x = 55,693,201,082.66/270,319.40
  6. Step 6: Final answer
    x = 206,027.39

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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.