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Finding the Fourth Proportional to 279,833.14, 386,180.15 and 158,994.91

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Solution

The fourth proportional to 279,833.14, 386,180.15 and 158,994.91 is: 219,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,833.14 : 386,180.15 = 158,994.91 : x
  2. Step 2: Convert to fraction form
    279,833.14/386,180.15 = 158,994.91/x
  3. Step 3: Cross multiply
    279,833.14x = 386,180.15 × 158,994.91
  4. Step 4: Simplify right side
    279,833.14x = 61,400,678,193.04
  5. Step 5: Solve for x
    x = 61,400,678,193.04/279,833.14
  6. Step 6: Final answer
    x = 219,418.89

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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.