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Finding the Fourth Proportional to 313,616.78, 432,791.74 and 170,377

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Solution

The fourth proportional to 313,616.78, 432,791.74 and 170,377 is: 235,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,616.78 : 432,791.74 = 170,377 : x
  2. Step 2: Convert to fraction form
    313,616.78/432,791.74 = 170,377/x
  3. Step 3: Cross multiply
    313,616.78x = 432,791.74 × 170,377
  4. Step 4: Simplify right side
    313,616.78x = 73,737,758,285.98
  5. Step 5: Solve for x
    x = 73,737,758,285.98/313,616.78
  6. Step 6: Final answer
    x = 235,120.58

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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.