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Finding the Fourth Proportional to 264,800.25, 397,200.42 and 77,811.75

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Solution

The fourth proportional to 264,800.25, 397,200.42 and 77,811.75 is: 116,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800.25 : 397,200.42 = 77,811.75 : x
  2. Step 2: Convert to fraction form
    264,800.25/397,200.42 = 77,811.75/x
  3. Step 3: Cross multiply
    264,800.25x = 397,200.42 × 77,811.75
  4. Step 4: Simplify right side
    264,800.25x = 30,906,859,780.94
  5. Step 5: Solve for x
    x = 30,906,859,780.94/264,800.25
  6. Step 6: Final answer
    x = 116,717.64

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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.