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Finding the Fourth Proportional to 258,963.52, 388,255.20 and 109,197.76

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Solution

The fourth proportional to 258,963.52, 388,255.20 and 109,197.76 is: 163,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,963.52 : 388,255.20 = 109,197.76 : x
  2. Step 2: Convert to fraction form
    258,963.52/388,255.20 = 109,197.76/x
  3. Step 3: Cross multiply
    258,963.52x = 388,255.20 × 109,197.76
  4. Step 4: Simplify right side
    258,963.52x = 42,396,598,148.35
  5. Step 5: Solve for x
    x = 42,396,598,148.35/258,963.52
  6. Step 6: Final answer
    x = 163,716.49

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1.5x scale

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.