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Finding the Fourth Proportional to 280,613.43, 420,917.04 and 80,927.30

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Solution

The fourth proportional to 280,613.43, 420,917.04 and 80,927.30 is: 121,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,613.43 : 420,917.04 = 80,927.30 : x
  2. Step 2: Convert to fraction form
    280,613.43/420,917.04 = 80,927.30/x
  3. Step 3: Cross multiply
    280,613.43x = 420,917.04 × 80,927.30
  4. Step 4: Simplify right side
    280,613.43x = 34,063,680,623.48
  5. Step 5: Solve for x
    x = 34,063,680,623.48/280,613.43
  6. Step 6: Final answer
    x = 121,390.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.