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Finding the Fourth Proportional to 290,049.92, 435,057.33 and 172,469.51

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Solution

The fourth proportional to 290,049.92, 435,057.33 and 172,469.51 is: 258,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,049.92 : 435,057.33 = 172,469.51 : x
  2. Step 2: Convert to fraction form
    290,049.92/435,057.33 = 172,469.51/x
  3. Step 3: Cross multiply
    290,049.92x = 435,057.33 × 172,469.51
  4. Step 4: Simplify right side
    290,049.92x = 75,034,124,527.01
  5. Step 5: Solve for x
    x = 75,034,124,527.01/290,049.92
  6. Step 6: Final answer
    x = 258,693.83

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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.