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Finding the Fourth Proportional to 356,443.88, 491,769.54 and 203,371.61

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Solution

The fourth proportional to 356,443.88, 491,769.54 and 203,371.61 is: 280,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,443.88 : 491,769.54 = 203,371.61 : x
  2. Step 2: Convert to fraction form
    356,443.88/491,769.54 = 203,371.61/x
  3. Step 3: Cross multiply
    356,443.88x = 491,769.54 × 203,371.61
  4. Step 4: Simplify right side
    356,443.88x = 100,011,960,639.91
  5. Step 5: Solve for x
    x = 100,011,960,639.91/356,443.88
  6. Step 6: Final answer
    x = 280,582.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.