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Finding the Fourth Proportional to 300,948.55, 415,240.76 and 204,165.60

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Solution

The fourth proportional to 300,948.55, 415,240.76 and 204,165.60 is: 281,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,948.55 : 415,240.76 = 204,165.60 : x
  2. Step 2: Convert to fraction form
    300,948.55/415,240.76 = 204,165.60/x
  3. Step 3: Cross multiply
    300,948.55x = 415,240.76 × 204,165.60
  4. Step 4: Simplify right side
    300,948.55x = 84,777,877,863.12
  5. Step 5: Solve for x
    x = 84,777,877,863.12/300,948.55
  6. Step 6: Final answer
    x = 281,702.23

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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.