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Finding the Fourth Proportional to 280,168, 386,631.84 and 179,566

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Solution

The fourth proportional to 280,168, 386,631.84 and 179,566 is: 247,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,168 : 386,631.84 = 179,566 : x
  2. Step 2: Convert to fraction form
    280,168/386,631.84 = 179,566/x
  3. Step 3: Cross multiply
    280,168x = 386,631.84 × 179,566
  4. Step 4: Simplify right side
    280,168x = 69,425,932,981.44
  5. Step 5: Solve for x
    x = 69,425,932,981.44/280,168
  6. Step 6: Final answer
    x = 247,801.08

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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.