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Finding the Fourth Proportional to 329,781.40, 494,508.30 and 105,112.60

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Solution

The fourth proportional to 329,781.40, 494,508.30 and 105,112.60 is: 157,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,781.40 : 494,508.30 = 105,112.60 : x
  2. Step 2: Convert to fraction form
    329,781.40/494,508.30 = 105,112.60/x
  3. Step 3: Cross multiply
    329,781.40x = 494,508.30 × 105,112.60
  4. Step 4: Simplify right side
    329,781.40x = 51,979,053,134.58
  5. Step 5: Solve for x
    x = 51,979,053,134.58/329,781.40
  6. Step 6: Final answer
    x = 157,616.69

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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.