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Finding the Fourth Proportional to 298,446.47, 447,388.30 and 148,545.05

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Solution

The fourth proportional to 298,446.47, 447,388.30 and 148,545.05 is: 222,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,446.47 : 447,388.30 = 148,545.05 : x
  2. Step 2: Convert to fraction form
    298,446.47/447,388.30 = 148,545.05/x
  3. Step 3: Cross multiply
    298,446.47x = 447,388.30 × 148,545.05
  4. Step 4: Simplify right side
    298,446.47x = 66,457,317,392.92
  5. Step 5: Solve for x
    x = 66,457,317,392.92/298,446.47
  6. Step 6: Final answer
    x = 222,677.51

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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.