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Finding the Fourth Proportional to 345,594, 476,944.20 and 194,691

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Solution

The fourth proportional to 345,594, 476,944.20 and 194,691 is: 268,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,594 : 476,944.20 = 194,691 : x
  2. Step 2: Convert to fraction form
    345,594/476,944.20 = 194,691/x
  3. Step 3: Cross multiply
    345,594x = 476,944.20 × 194,691
  4. Step 4: Simplify right side
    345,594x = 92,856,743,242.20
  5. Step 5: Solve for x
    x = 92,856,743,242.20/345,594
  6. Step 6: Final answer
    x = 268,687.37

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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.