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Finding the Fourth Proportional to 411,122.79, 616,790.34 and 126,806.91

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Solution

The fourth proportional to 411,122.79, 616,790.34 and 126,806.91 is: 190,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,122.79 : 616,790.34 = 126,806.91 : x
  2. Step 2: Convert to fraction form
    411,122.79/616,790.34 = 126,806.91/x
  3. Step 3: Cross multiply
    411,122.79x = 616,790.34 × 126,806.91
  4. Step 4: Simplify right side
    411,122.79x = 78,213,277,133.25
  5. Step 5: Solve for x
    x = 78,213,277,133.25/411,122.79
  6. Step 6: Final answer
    x = 190,243.11

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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.