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Finding the Fourth Proportional to 312,857.60, 431,711.07 and 192,003.98

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Solution

The fourth proportional to 312,857.60, 431,711.07 and 192,003.98 is: 264,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,857.60 : 431,711.07 = 192,003.98 : x
  2. Step 2: Convert to fraction form
    312,857.60/431,711.07 = 192,003.98/x
  3. Step 3: Cross multiply
    312,857.60x = 431,711.07 × 192,003.98
  4. Step 4: Simplify right side
    312,857.60x = 82,890,243,650.06
  5. Step 5: Solve for x
    x = 82,890,243,650.06/312,857.60
  6. Step 6: Final answer
    x = 264,945.60

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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.