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Finding the Fourth Proportional to 279,971.39, 419,691.03 and 178,484.57

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Solution

The fourth proportional to 279,971.39, 419,691.03 and 178,484.57 is: 267,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.39 : 419,691.03 = 178,484.57 : x
  2. Step 2: Convert to fraction form
    279,971.39/419,691.03 = 178,484.57/x
  3. Step 3: Cross multiply
    279,971.39x = 419,691.03 × 178,484.57
  4. Step 4: Simplify right side
    279,971.39x = 74,908,373,022.41
  5. Step 5: Solve for x
    x = 74,908,373,022.41/279,971.39
  6. Step 6: Final answer
    x = 267,557.24

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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.