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Finding the Fourth Proportional to 270,387.33, 405,608.67 and 102,049.35

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Solution

The fourth proportional to 270,387.33, 405,608.67 and 102,049.35 is: 153,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,387.33 : 405,608.67 = 102,049.35 : x
  2. Step 2: Convert to fraction form
    270,387.33/405,608.67 = 102,049.35/x
  3. Step 3: Cross multiply
    270,387.33x = 405,608.67 × 102,049.35
  4. Step 4: Simplify right side
    270,387.33x = 41,392,101,127.86
  5. Step 5: Solve for x
    x = 41,392,101,127.86/270,387.33
  6. Step 6: Final answer
    x = 153,084.47

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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.