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Finding the Fourth Proportional to 653,550.80, 980,326.96 and 204,274

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Solution

The fourth proportional to 653,550.80, 980,326.96 and 204,274 is: 306,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,550.80 : 980,326.96 = 204,274 : x
  2. Step 2: Convert to fraction form
    653,550.80/980,326.96 = 204,274/x
  3. Step 3: Cross multiply
    653,550.80x = 980,326.96 × 204,274
  4. Step 4: Simplify right side
    653,550.80x = 200,255,309,427.04
  5. Step 5: Solve for x
    x = 200,255,309,427.04/653,550.80
  6. Step 6: Final answer
    x = 306,411.24

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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.