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Finding the Fourth Proportional to 268,783.58, 402,894.09 and 100,236.11

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Solution

The fourth proportional to 268,783.58, 402,894.09 and 100,236.11 is: 150,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,783.58 : 402,894.09 = 100,236.11 : x
  2. Step 2: Convert to fraction form
    268,783.58/402,894.09 = 100,236.11/x
  3. Step 3: Cross multiply
    268,783.58x = 402,894.09 × 100,236.11
  4. Step 4: Simplify right side
    268,783.58x = 40,384,534,309.12
  5. Step 5: Solve for x
    x = 40,384,534,309.12/268,783.58
  6. Step 6: Final answer
    x = 150,249.26

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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.