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Finding the Fourth Proportional to 279,187.91, 419,023.65 and 146,161.22

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Solution

The fourth proportional to 279,187.91, 419,023.65 and 146,161.22 is: 219,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,187.91 : 419,023.65 = 146,161.22 : x
  2. Step 2: Convert to fraction form
    279,187.91/419,023.65 = 146,161.22/x
  3. Step 3: Cross multiply
    279,187.91x = 419,023.65 × 146,161.22
  4. Step 4: Simplify right side
    279,187.91x = 61,245,007,892.85
  5. Step 5: Solve for x
    x = 61,245,007,892.85/279,187.91
  6. Step 6: Final answer
    x = 219,368.41

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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.