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Finding the Fourth Proportional to 408,856.32, 613,241.34 and 109,367.13

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Solution

The fourth proportional to 408,856.32, 613,241.34 and 109,367.13 is: 164,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,856.32 : 613,241.34 = 109,367.13 : x
  2. Step 2: Convert to fraction form
    408,856.32/613,241.34 = 109,367.13/x
  3. Step 3: Cross multiply
    408,856.32x = 613,241.34 × 109,367.13
  4. Step 4: Simplify right side
    408,856.32x = 67,068,445,353.15
  5. Step 5: Solve for x
    x = 67,068,445,353.15/408,856.32
  6. Step 6: Final answer
    x = 164,039.16

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1.5x scale

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.