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Finding the Fourth Proportional to 223,691.47, 308,808.59 and 172,589.38

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Solution

The fourth proportional to 223,691.47, 308,808.59 and 172,589.38 is: 238,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691.47 : 308,808.59 = 172,589.38 : x
  2. Step 2: Convert to fraction form
    223,691.47/308,808.59 = 172,589.38/x
  3. Step 3: Cross multiply
    223,691.47x = 308,808.59 × 172,589.38
  4. Step 4: Simplify right side
    223,691.47x = 53,297,081,451.81
  5. Step 5: Solve for x
    x = 53,297,081,451.81/223,691.47
  6. Step 6: Final answer
    x = 238,261.58

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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.