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Finding the Fourth Proportional to 270,316.53, 405,641.55 and 137,292.26

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Solution

The fourth proportional to 270,316.53, 405,641.55 and 137,292.26 is: 206,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,316.53 : 405,641.55 = 137,292.26 : x
  2. Step 2: Convert to fraction form
    270,316.53/405,641.55 = 137,292.26/x
  3. Step 3: Cross multiply
    270,316.53x = 405,641.55 × 137,292.26
  4. Step 4: Simplify right side
    270,316.53x = 55,691,443,121.20
  5. Step 5: Solve for x
    x = 55,691,443,121.20/270,316.53
  6. Step 6: Final answer
    x = 206,023.08

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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.