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Finding the Fourth Proportional to 474,146, 711,219 and 123,938

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Solution

The fourth proportional to 474,146, 711,219 and 123,938 is: 185,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,146 : 711,219 = 123,938 : x
  2. Step 2: Convert to fraction form
    474,146/711,219 = 123,938/x
  3. Step 3: Cross multiply
    474,146x = 711,219 × 123,938
  4. Step 4: Simplify right side
    474,146x = 88,147,060,422
  5. Step 5: Solve for x
    x = 88,147,060,422/474,146
  6. Step 6: Final answer
    x = 185,907

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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.