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Finding the Fourth Proportional to 208,396.80, 287,193.60 and 205,286.40

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Solution

The fourth proportional to 208,396.80, 287,193.60 and 205,286.40 is: 282,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,396.80 : 287,193.60 = 205,286.40 : x
  2. Step 2: Convert to fraction form
    208,396.80/287,193.60 = 205,286.40/x
  3. Step 3: Cross multiply
    208,396.80x = 287,193.60 × 205,286.40
  4. Step 4: Simplify right side
    208,396.80x = 58,956,940,247.04
  5. Step 5: Solve for x
    x = 58,956,940,247.04/208,396.80
  6. Step 6: Final answer
    x = 282,907.13

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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.