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Finding the Fourth Proportional to 279,769.68, 419,778.59 and 146,618.33

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Solution

The fourth proportional to 279,769.68, 419,778.59 and 146,618.33 is: 219,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,769.68 : 419,778.59 = 146,618.33 : x
  2. Step 2: Convert to fraction form
    279,769.68/419,778.59 = 146,618.33/x
  3. Step 3: Cross multiply
    279,769.68x = 419,778.59 × 146,618.33
  4. Step 4: Simplify right side
    279,769.68x = 61,547,233,003.57
  5. Step 5: Solve for x
    x = 61,547,233,003.57/279,769.68
  6. Step 6: Final answer
    x = 219,992.51

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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.