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Finding the Fourth Proportional to 208,770.98, 287,706.21 and 204,932.30

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Solution

The fourth proportional to 208,770.98, 287,706.21 and 204,932.30 is: 282,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770.98 : 287,706.21 = 204,932.30 : x
  2. Step 2: Convert to fraction form
    208,770.98/287,706.21 = 204,932.30/x
  3. Step 3: Cross multiply
    208,770.98x = 287,706.21 × 204,932.30
  4. Step 4: Simplify right side
    208,770.98x = 58,960,295,339.58
  5. Step 5: Solve for x
    x = 58,960,295,339.58/208,770.98
  6. Step 6: Final answer
    x = 282,416.14

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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.