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Finding the Fourth Proportional to 219,047.92, 302,290.05 and 128,469.19

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Solution

The fourth proportional to 219,047.92, 302,290.05 and 128,469.19 is: 177,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,047.92 : 302,290.05 = 128,469.19 : x
  2. Step 2: Convert to fraction form
    219,047.92/302,290.05 = 128,469.19/x
  3. Step 3: Cross multiply
    219,047.92x = 302,290.05 × 128,469.19
  4. Step 4: Simplify right side
    219,047.92x = 38,834,957,868.56
  5. Step 5: Solve for x
    x = 38,834,957,868.56/219,047.92
  6. Step 6: Final answer
    x = 177,289.78

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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.