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Finding the Fourth Proportional to 279,927.44, 420,053.78 and 117,809.56

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Solution

The fourth proportional to 279,927.44, 420,053.78 and 117,809.56 is: 176,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,927.44 : 420,053.78 = 117,809.56 : x
  2. Step 2: Convert to fraction form
    279,927.44/420,053.78 = 117,809.56/x
  3. Step 3: Cross multiply
    279,927.44x = 420,053.78 × 117,809.56
  4. Step 4: Simplify right side
    279,927.44x = 49,486,350,998.14
  5. Step 5: Solve for x
    x = 49,486,350,998.14/279,927.44
  6. Step 6: Final answer
    x = 176,782.78

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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.