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Finding the Fourth Proportional to 208,768.48, 287,702.76 and 204,929.80

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Solution

The fourth proportional to 208,768.48, 287,702.76 and 204,929.80 is: 282,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,768.48 : 287,702.76 = 204,929.80 : x
  2. Step 2: Convert to fraction form
    208,768.48/287,702.76 = 204,929.80/x
  3. Step 3: Cross multiply
    208,768.48x = 287,702.76 × 204,929.80
  4. Step 4: Simplify right side
    208,768.48x = 58,958,869,066.25
  5. Step 5: Solve for x
    x = 58,958,869,066.25/208,768.48
  6. Step 6: Final answer
    x = 282,412.69

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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.