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Finding the Fourth Proportional to 309,874.41, 464,813.66 and 85,258.58

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Solution

The fourth proportional to 309,874.41, 464,813.66 and 85,258.58 is: 127,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,874.41 : 464,813.66 = 85,258.58 : x
  2. Step 2: Convert to fraction form
    309,874.41/464,813.66 = 85,258.58/x
  3. Step 3: Cross multiply
    309,874.41x = 464,813.66 × 85,258.58
  4. Step 4: Simplify right side
    309,874.41x = 39,629,350,505.28
  5. Step 5: Solve for x
    x = 39,629,350,505.28/309,874.41
  6. Step 6: Final answer
    x = 127,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.