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Finding the Fourth Proportional to 280,765.71, 387,340.65 and 204,116.76

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Solution

The fourth proportional to 280,765.71, 387,340.65 and 204,116.76 is: 281,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,765.71 : 387,340.65 = 204,116.76 : x
  2. Step 2: Convert to fraction form
    280,765.71/387,340.65 = 204,116.76/x
  3. Step 3: Cross multiply
    280,765.71x = 387,340.65 × 204,116.76
  4. Step 4: Simplify right side
    280,765.71x = 79,062,718,494.29
  5. Step 5: Solve for x
    x = 79,062,718,494.29/280,765.71
  6. Step 6: Final answer
    x = 281,596.78

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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.