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Finding the Fourth Proportional to 300,058.65, 414,120.11 and 172,739.61

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Solution

The fourth proportional to 300,058.65, 414,120.11 and 172,739.61 is: 238,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,058.65 : 414,120.11 = 172,739.61 : x
  2. Step 2: Convert to fraction form
    300,058.65/414,120.11 = 172,739.61/x
  3. Step 3: Cross multiply
    300,058.65x = 414,120.11 × 172,739.61
  4. Step 4: Simplify right side
    300,058.65x = 71,534,945,430.86
  5. Step 5: Solve for x
    x = 71,534,945,430.86/300,058.65
  6. Step 6: Final answer
    x = 238,403.21

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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.