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Finding the Fourth Proportional to 398,742.32, 550,256.28 and 219,894.32

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Solution

The fourth proportional to 398,742.32, 550,256.28 and 219,894.32 is: 303,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742.32 : 550,256.28 = 219,894.32 : x
  2. Step 2: Convert to fraction form
    398,742.32/550,256.28 = 219,894.32/x
  3. Step 3: Cross multiply
    398,742.32x = 550,256.28 × 219,894.32
  4. Step 4: Simplify right side
    398,742.32x = 120,998,230,516.33
  5. Step 5: Solve for x
    x = 120,998,230,516.33/398,742.32
  6. Step 6: Final answer
    x = 303,449.68

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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.