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Finding the Fourth Proportional to 306,808.20, 423,446.94 and 197,881.92

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Solution

The fourth proportional to 306,808.20, 423,446.94 and 197,881.92 is: 273,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,808.20 : 423,446.94 = 197,881.92 : x
  2. Step 2: Convert to fraction form
    306,808.20/423,446.94 = 197,881.92/x
  3. Step 3: Cross multiply
    306,808.20x = 423,446.94 × 197,881.92
  4. Step 4: Simplify right side
    306,808.20x = 83,792,493,505.32
  5. Step 5: Solve for x
    x = 83,792,493,505.32/306,808.20
  6. Step 6: Final answer
    x = 273,110.35

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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.