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Finding the Fourth Proportional to 342,000, 471,960 and 191,097

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Solution

The fourth proportional to 342,000, 471,960 and 191,097 is: 263,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000 : 471,960 = 191,097 : x
  2. Step 2: Convert to fraction form
    342,000/471,960 = 191,097/x
  3. Step 3: Cross multiply
    342,000x = 471,960 × 191,097
  4. Step 4: Simplify right side
    342,000x = 90,190,140,120
  5. Step 5: Solve for x
    x = 90,190,140,120/342,000
  6. Step 6: Final answer
    x = 263,713.86

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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.