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Finding the Fourth Proportional to 206,027.02, 308,625 and 172,653.40

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Solution

The fourth proportional to 206,027.02, 308,625 and 172,653.40 is: 258,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,027.02 : 308,625 = 172,653.40 : x
  2. Step 2: Convert to fraction form
    206,027.02/308,625 = 172,653.40/x
  3. Step 3: Cross multiply
    206,027.02x = 308,625 × 172,653.40
  4. Step 4: Simplify right side
    206,027.02x = 53,285,155,575
  5. Step 5: Solve for x
    x = 53,285,155,575/206,027.02
  6. Step 6: Final answer
    x = 258,631.88

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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.