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Finding the Fourth Proportional to 268,711.82, 370,975.91 and 178,190.78

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Solution

The fourth proportional to 268,711.82, 370,975.91 and 178,190.78 is: 246,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,711.82 : 370,975.91 = 178,190.78 : x
  2. Step 2: Convert to fraction form
    268,711.82/370,975.91 = 178,190.78/x
  3. Step 3: Cross multiply
    268,711.82x = 370,975.91 × 178,190.78
  4. Step 4: Simplify right side
    268,711.82x = 66,104,486,764.11
  5. Step 5: Solve for x
    x = 66,104,486,764.11/268,711.82
  6. Step 6: Final answer
    x = 246,005.13

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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.