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Finding the Fourth Proportional to 315,993.16, 436,072.10 and 172,753.20

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Solution

The fourth proportional to 315,993.16, 436,072.10 and 172,753.20 is: 238,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,993.16 : 436,072.10 = 172,753.20 : x
  2. Step 2: Convert to fraction form
    315,993.16/436,072.10 = 172,753.20/x
  3. Step 3: Cross multiply
    315,993.16x = 436,072.10 × 172,753.20
  4. Step 4: Simplify right side
    315,993.16x = 75,332,850,705.72
  5. Step 5: Solve for x
    x = 75,332,850,705.72/315,993.16
  6. Step 6: Final answer
    x = 238,400.26

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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.