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Finding the Fourth Proportional to 279,971.69, 419,691.47 and 178,484.85

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Solution

The fourth proportional to 279,971.69, 419,691.47 and 178,484.85 is: 267,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.69 : 419,691.47 = 178,484.85 : x
  2. Step 2: Convert to fraction form
    279,971.69/419,691.47 = 178,484.85/x
  3. Step 3: Cross multiply
    279,971.69x = 419,691.47 × 178,484.85
  4. Step 4: Simplify right side
    279,971.69x = 74,908,568,176.81
  5. Step 5: Solve for x
    x = 74,908,568,176.81/279,971.69
  6. Step 6: Final answer
    x = 267,557.66

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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.