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Finding the Fourth Proportional to 298,152.11, 447,058.22 and 203,496.89

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Solution

The fourth proportional to 298,152.11, 447,058.22 and 203,496.89 is: 305,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,152.11 : 447,058.22 = 203,496.89 : x
  2. Step 2: Convert to fraction form
    298,152.11/447,058.22 = 203,496.89/x
  3. Step 3: Cross multiply
    298,152.11x = 447,058.22 × 203,496.89
  4. Step 4: Simplify right side
    298,152.11x = 90,974,954,166.16
  5. Step 5: Solve for x
    x = 90,974,954,166.16/298,152.11
  6. Step 6: Final answer
    x = 305,129.33

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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.