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Finding the Fourth Proportional to 192,496.10, 288,416.10 and 164,283.80

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Solution

The fourth proportional to 192,496.10, 288,416.10 and 164,283.80 is: 246,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,496.10 : 288,416.10 = 164,283.80 : x
  2. Step 2: Convert to fraction form
    192,496.10/288,416.10 = 164,283.80/x
  3. Step 3: Cross multiply
    192,496.10x = 288,416.10 × 164,283.80
  4. Step 4: Simplify right side
    192,496.10x = 47,382,092,889.18
  5. Step 5: Solve for x
    x = 47,382,092,889.18/192,496.10
  6. Step 6: Final answer
    x = 246,145.73

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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.