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Finding the Fourth Proportional to 206,024.52, 308,621.25 and 172,650.90

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Solution

The fourth proportional to 206,024.52, 308,621.25 and 172,650.90 is: 258,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,024.52 : 308,621.25 = 172,650.90 : x
  2. Step 2: Convert to fraction form
    206,024.52/308,621.25 = 172,650.90/x
  3. Step 3: Cross multiply
    206,024.52x = 308,621.25 × 172,650.90
  4. Step 4: Simplify right side
    206,024.52x = 53,283,736,571.63
  5. Step 5: Solve for x
    x = 53,283,736,571.63/206,024.52
  6. Step 6: Final answer
    x = 258,628.13

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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.