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Finding the Fourth Proportional to 280,308.60, 387,147.66 and 204,166.92

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Solution

The fourth proportional to 280,308.60, 387,147.66 and 204,166.92 is: 281,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,308.60 : 387,147.66 = 204,166.92 : x
  2. Step 2: Convert to fraction form
    280,308.60/387,147.66 = 204,166.92/x
  3. Step 3: Cross multiply
    280,308.60x = 387,147.66 × 204,166.92
  4. Step 4: Simplify right side
    280,308.60x = 79,042,745,327.41
  5. Step 5: Solve for x
    x = 79,042,745,327.41/280,308.60
  6. Step 6: Final answer
    x = 281,984.73

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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.