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Finding the Fourth Proportional to 345,096.56, 476,215.08 and 194,203.28

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Solution

The fourth proportional to 345,096.56, 476,215.08 and 194,203.28 is: 267,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,096.56 : 476,215.08 = 194,203.28 : x
  2. Step 2: Convert to fraction form
    345,096.56/476,215.08 = 194,203.28/x
  3. Step 3: Cross multiply
    345,096.56x = 476,215.08 × 194,203.28
  4. Step 4: Simplify right side
    345,096.56x = 92,482,530,521.46
  5. Step 5: Solve for x
    x = 92,482,530,521.46/345,096.56
  6. Step 6: Final answer
    x = 267,990.30

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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.