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Finding the Fourth Proportional to 315,791.69, 435,787.34 and 172,548.65

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Solution

The fourth proportional to 315,791.69, 435,787.34 and 172,548.65 is: 238,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,791.69 : 435,787.34 = 172,548.65 : x
  2. Step 2: Convert to fraction form
    315,791.69/435,787.34 = 172,548.65/x
  3. Step 3: Cross multiply
    315,791.69x = 435,787.34 × 172,548.65
  4. Step 4: Simplify right side
    315,791.69x = 75,194,514,162.41
  5. Step 5: Solve for x
    x = 75,194,514,162.41/315,791.69
  6. Step 6: Final answer
    x = 238,114.29

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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.