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Finding the Fourth Proportional to 287,191.48, 396,446.76 and 204,458.80

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Solution

The fourth proportional to 287,191.48, 396,446.76 and 204,458.80 is: 282,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,191.48 : 396,446.76 = 204,458.80 : x
  2. Step 2: Convert to fraction form
    287,191.48/396,446.76 = 204,458.80/x
  3. Step 3: Cross multiply
    287,191.48x = 396,446.76 × 204,458.80
  4. Step 4: Simplify right side
    287,191.48x = 81,057,028,813.49
  5. Step 5: Solve for x
    x = 81,057,028,813.49/287,191.48
  6. Step 6: Final answer
    x = 282,240.37

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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.