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Finding the Fourth Proportional to 306,416.16, 422,646.60 and 198,793.92

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Solution

The fourth proportional to 306,416.16, 422,646.60 and 198,793.92 is: 274,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,416.16 : 422,646.60 = 198,793.92 : x
  2. Step 2: Convert to fraction form
    306,416.16/422,646.60 = 198,793.92/x
  3. Step 3: Cross multiply
    306,416.16x = 422,646.60 × 198,793.92
  4. Step 4: Simplify right side
    306,416.16x = 84,019,574,388.67
  5. Step 5: Solve for x
    x = 84,019,574,388.67/306,416.16
  6. Step 6: Final answer
    x = 274,200.86

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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.