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Finding the Fourth Proportional to 494,006.34, 681,719.82 and 279,141.78

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Solution

The fourth proportional to 494,006.34, 681,719.82 and 279,141.78 is: 385,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,006.34 : 681,719.82 = 279,141.78 : x
  2. Step 2: Convert to fraction form
    494,006.34/681,719.82 = 279,141.78/x
  3. Step 3: Cross multiply
    494,006.34x = 681,719.82 × 279,141.78
  4. Step 4: Simplify right side
    494,006.34x = 190,296,484,016.08
  5. Step 5: Solve for x
    x = 190,296,484,016.08/494,006.34
  6. Step 6: Final answer
    x = 385,210.61

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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.