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Finding the Fourth Proportional to 398,604.75, 550,074.56 and 219,756.75

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Solution

The fourth proportional to 398,604.75, 550,074.56 and 219,756.75 is: 303,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604.75 : 550,074.56 = 219,756.75 : x
  2. Step 2: Convert to fraction form
    398,604.75/550,074.56 = 219,756.75/x
  3. Step 3: Cross multiply
    398,604.75x = 550,074.56 × 219,756.75
  4. Step 4: Simplify right side
    398,604.75x = 120,882,596,464.50
  5. Step 5: Solve for x
    x = 120,882,596,464.50/398,604.75
  6. Step 6: Final answer
    x = 303,264.32

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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.