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Finding the Fourth Proportional to 408,853.32, 613,236.84 and 109,364.12

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Solution

The fourth proportional to 408,853.32, 613,236.84 and 109,364.12 is: 164,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,853.32 : 613,236.84 = 109,364.12 : x
  2. Step 2: Convert to fraction form
    408,853.32/613,236.84 = 109,364.12/x
  3. Step 3: Cross multiply
    408,853.32x = 613,236.84 × 109,364.12
  4. Step 4: Simplify right side
    408,853.32x = 67,066,107,358.18
  5. Step 5: Solve for x
    x = 67,066,107,358.18/408,853.32
  6. Step 6: Final answer
    x = 164,034.64

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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.