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Finding the Fourth Proportional to 288,341.25, 397,894.44 and 172,185.78

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Solution

The fourth proportional to 288,341.25, 397,894.44 and 172,185.78 is: 237,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,341.25 : 397,894.44 = 172,185.78 : x
  2. Step 2: Convert to fraction form
    288,341.25/397,894.44 = 172,185.78/x
  3. Step 3: Cross multiply
    288,341.25x = 397,894.44 × 172,185.78
  4. Step 4: Simplify right side
    288,341.25x = 68,511,764,509.06
  5. Step 5: Solve for x
    x = 68,511,764,509.06/288,341.25
  6. Step 6: Final answer
    x = 237,606.53

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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.