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Finding the Fourth Proportional to 313,910.08, 470,865.12 and 220,832.32

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Solution

The fourth proportional to 313,910.08, 470,865.12 and 220,832.32 is: 331,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,910.08 : 470,865.12 = 220,832.32 : x
  2. Step 2: Convert to fraction form
    313,910.08/470,865.12 = 220,832.32/x
  3. Step 3: Cross multiply
    313,910.08x = 470,865.12 × 220,832.32
  4. Step 4: Simplify right side
    313,910.08x = 103,982,236,856.68
  5. Step 5: Solve for x
    x = 103,982,236,856.68/313,910.08
  6. Step 6: Final answer
    x = 331,248.48

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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.