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Finding the Fourth Proportional to 279,769.96, 419,778.96 and 146,618.56

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Solution

The fourth proportional to 279,769.96, 419,778.96 and 146,618.56 is: 219,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,769.96 : 419,778.96 = 146,618.56 : x
  2. Step 2: Convert to fraction form
    279,769.96/419,778.96 = 146,618.56/x
  3. Step 3: Cross multiply
    279,769.96x = 419,778.96 × 146,618.56
  4. Step 4: Simplify right side
    279,769.96x = 61,547,386,633.50
  5. Step 5: Solve for x
    x = 61,547,386,633.50/279,769.96
  6. Step 6: Final answer
    x = 219,992.83

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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.