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Finding the Fourth Proportional to 347,662.80, 521,105.40 and 197,974.80

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Solution

The fourth proportional to 347,662.80, 521,105.40 and 197,974.80 is: 296,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,662.80 : 521,105.40 = 197,974.80 : x
  2. Step 2: Convert to fraction form
    347,662.80/521,105.40 = 197,974.80/x
  3. Step 3: Cross multiply
    347,662.80x = 521,105.40 × 197,974.80
  4. Step 4: Simplify right side
    347,662.80x = 103,165,737,343.92
  5. Step 5: Solve for x
    x = 103,165,737,343.92/347,662.80
  6. Step 6: Final answer
    x = 296,740.80

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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.