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Finding the Fourth Proportional to 347,202, 479,141.64 and 188,226

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Solution

The fourth proportional to 347,202, 479,141.64 and 188,226 is: 259,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,202 : 479,141.64 = 188,226 : x
  2. Step 2: Convert to fraction form
    347,202/479,141.64 = 188,226/x
  3. Step 3: Cross multiply
    347,202x = 479,141.64 × 188,226
  4. Step 4: Simplify right side
    347,202x = 90,186,914,330.64
  5. Step 5: Solve for x
    x = 90,186,914,330.64/347,202
  6. Step 6: Final answer
    x = 259,753.44

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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.