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Finding the Fourth Proportional to 345,071.12, 476,186.48 and 194,138.96

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Solution

The fourth proportional to 345,071.12, 476,186.48 and 194,138.96 is: 267,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,071.12 : 476,186.48 = 194,138.96 : x
  2. Step 2: Convert to fraction form
    345,071.12/476,186.48 = 194,138.96/x
  3. Step 3: Cross multiply
    345,071.12x = 476,186.48 × 194,138.96
  4. Step 4: Simplify right side
    345,071.12x = 92,446,347,022.57
  5. Step 5: Solve for x
    x = 92,446,347,022.57/345,071.12
  6. Step 6: Final answer
    x = 267,905.20

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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.