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Finding the Fourth Proportional to 280,876.56, 387,514.98 and 159,932.28

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Solution

The fourth proportional to 280,876.56, 387,514.98 and 159,932.28 is: 220,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,876.56 : 387,514.98 = 159,932.28 : x
  2. Step 2: Convert to fraction form
    280,876.56/387,514.98 = 159,932.28/x
  3. Step 3: Cross multiply
    280,876.56x = 387,514.98 × 159,932.28
  4. Step 4: Simplify right side
    280,876.56x = 61,976,154,285.55
  5. Step 5: Solve for x
    x = 61,976,154,285.55/280,876.56
  6. Step 6: Final answer
    x = 220,652.64

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1.5x scale

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.