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Finding the Fourth Proportional to 280,656, 387,305.28 and 161,424

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Solution

The fourth proportional to 280,656, 387,305.28 and 161,424 is: 222,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,656 : 387,305.28 = 161,424 : x
  2. Step 2: Convert to fraction form
    280,656/387,305.28 = 161,424/x
  3. Step 3: Cross multiply
    280,656x = 387,305.28 × 161,424
  4. Step 4: Simplify right side
    280,656x = 62,520,367,518.72
  5. Step 5: Solve for x
    x = 62,520,367,518.72/280,656
  6. Step 6: Final answer
    x = 222,765.12

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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.