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Finding the Fourth Proportional to 279,187.41, 419,022.90 and 146,160.72

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Solution

The fourth proportional to 279,187.41, 419,022.90 and 146,160.72 is: 219,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,187.41 : 419,022.90 = 146,160.72 : x
  2. Step 2: Convert to fraction form
    279,187.41/419,022.90 = 146,160.72/x
  3. Step 3: Cross multiply
    279,187.41x = 419,022.90 × 146,160.72
  4. Step 4: Simplify right side
    279,187.41x = 61,244,688,760.49
  5. Step 5: Solve for x
    x = 61,244,688,760.49/279,187.41
  6. Step 6: Final answer
    x = 219,367.66

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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.