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Finding the Fourth Proportional to 279,977.94, 386,429.88 and 165,213.90

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Solution

The fourth proportional to 279,977.94, 386,429.88 and 165,213.90 is: 228,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,977.94 : 386,429.88 = 165,213.90 : x
  2. Step 2: Convert to fraction form
    279,977.94/386,429.88 = 165,213.90/x
  3. Step 3: Cross multiply
    279,977.94x = 386,429.88 × 165,213.90
  4. Step 4: Simplify right side
    279,977.94x = 63,843,587,551.33
  5. Step 5: Solve for x
    x = 63,843,587,551.33/279,977.94
  6. Step 6: Final answer
    x = 228,030.78

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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.