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Finding the Fourth Proportional to 300,062.90, 414,125.97 and 172,743.86

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Solution

The fourth proportional to 300,062.90, 414,125.97 and 172,743.86 is: 238,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,062.90 : 414,125.97 = 172,743.86 : x
  2. Step 2: Convert to fraction form
    300,062.90/414,125.97 = 172,743.86/x
  3. Step 3: Cross multiply
    300,062.90x = 414,125.97 × 172,743.86
  4. Step 4: Simplify right side
    300,062.90x = 71,537,718,584.04
  5. Step 5: Solve for x
    x = 71,537,718,584.04/300,062.90
  6. Step 6: Final answer
    x = 238,409.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.