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Finding the Fourth Proportional to 315,441.86, 435,317.22 and 172,202.97

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Solution

The fourth proportional to 315,441.86, 435,317.22 and 172,202.97 is: 237,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,441.86 : 435,317.22 = 172,202.97 : x
  2. Step 2: Convert to fraction form
    315,441.86/435,317.22 = 172,202.97/x
  3. Step 3: Cross multiply
    315,441.86x = 435,317.22 × 172,202.97
  4. Step 4: Simplify right side
    315,441.86x = 74,962,919,808.58
  5. Step 5: Solve for x
    x = 74,962,919,808.58/315,441.86
  6. Step 6: Final answer
    x = 237,644.18

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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.