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Finding the Fourth Proportional to 222,041.32, 306,409.44 and 126,578.78

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Solution

The fourth proportional to 222,041.32, 306,409.44 and 126,578.78 is: 174,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,041.32 : 306,409.44 = 126,578.78 : x
  2. Step 2: Convert to fraction form
    222,041.32/306,409.44 = 126,578.78/x
  3. Step 3: Cross multiply
    222,041.32x = 306,409.44 × 126,578.78
  4. Step 4: Simplify right side
    222,041.32x = 38,784,933,095.68
  5. Step 5: Solve for x
    x = 38,784,933,095.68/222,041.32
  6. Step 6: Final answer
    x = 174,674.39

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1.5x scale

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.