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Finding the Fourth Proportional to 223,832.65, 309,003.16 and 172,730.56

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Solution

The fourth proportional to 223,832.65, 309,003.16 and 172,730.56 is: 238,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,832.65 : 309,003.16 = 172,730.56 : x
  2. Step 2: Convert to fraction form
    223,832.65/309,003.16 = 172,730.56/x
  3. Step 3: Cross multiply
    223,832.65x = 309,003.16 × 172,730.56
  4. Step 4: Simplify right side
    223,832.65x = 53,374,287,323.55
  5. Step 5: Solve for x
    x = 53,374,287,323.55/223,832.65
  6. Step 6: Final answer
    x = 238,456.22

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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.