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Finding the Fourth Proportional to 361,906.23, 542,506.32 and 172,315.66

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Solution

The fourth proportional to 361,906.23, 542,506.32 and 172,315.66 is: 258,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,906.23 : 542,506.32 = 172,315.66 : x
  2. Step 2: Convert to fraction form
    361,906.23/542,506.32 = 172,315.66/x
  3. Step 3: Cross multiply
    361,906.23x = 542,506.32 × 172,315.66
  4. Step 4: Simplify right side
    361,906.23x = 93,482,331,872.44
  5. Step 5: Solve for x
    x = 93,482,331,872.44/361,906.23
  6. Step 6: Final answer
    x = 258,305.40

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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.