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Finding the Fourth Proportional to 279,009.38, 418,382.82 and 194,864.56

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Solution

The fourth proportional to 279,009.38, 418,382.82 and 194,864.56 is: 292,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,009.38 : 418,382.82 = 194,864.56 : x
  2. Step 2: Convert to fraction form
    279,009.38/418,382.82 = 194,864.56/x
  3. Step 3: Cross multiply
    279,009.38x = 418,382.82 × 194,864.56
  4. Step 4: Simplify right side
    279,009.38x = 81,527,984,130.86
  5. Step 5: Solve for x
    x = 81,527,984,130.86/279,009.38
  6. Step 6: Final answer
    x = 292,205.17

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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.