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Finding the Fourth Proportional to 298,540.41, 411,981.67 and 169,477.75

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Solution

The fourth proportional to 298,540.41, 411,981.67 and 169,477.75 is: 233,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,540.41 : 411,981.67 = 169,477.75 : x
  2. Step 2: Convert to fraction form
    298,540.41/411,981.67 = 169,477.75/x
  3. Step 3: Cross multiply
    298,540.41x = 411,981.67 × 169,477.75
  4. Step 4: Simplify right side
    298,540.41x = 69,821,726,472.84
  5. Step 5: Solve for x
    x = 69,821,726,472.84/298,540.41
  6. Step 6: Final answer
    x = 233,876.97

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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.