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Finding the Fourth Proportional to 263,392, 363,480.96 and 144,160

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Solution

The fourth proportional to 263,392, 363,480.96 and 144,160 is: 198,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,392 : 363,480.96 = 144,160 : x
  2. Step 2: Convert to fraction form
    263,392/363,480.96 = 144,160/x
  3. Step 3: Cross multiply
    263,392x = 363,480.96 × 144,160
  4. Step 4: Simplify right side
    263,392x = 52,399,415,193.60
  5. Step 5: Solve for x
    x = 52,399,415,193.60/263,392
  6. Step 6: Final answer
    x = 198,940.80

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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.