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Finding the Fourth Proportional to 287,604.38, 396,479.00 and 201,296.25

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Solution

The fourth proportional to 287,604.38, 396,479.00 and 201,296.25 is: 277,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,604.38 : 396,479.00 = 201,296.25 : x
  2. Step 2: Convert to fraction form
    287,604.38/396,479.00 = 201,296.25/x
  3. Step 3: Cross multiply
    287,604.38x = 396,479.00 × 201,296.25
  4. Step 4: Simplify right side
    287,604.38x = 79,809,734,897.27
  5. Step 5: Solve for x
    x = 79,809,734,897.27/287,604.38
  6. Step 6: Final answer
    x = 277,498.33

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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.