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Finding the Fourth Proportional to 411,225.97, 616,847.41 and 126,916.71

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Solution

The fourth proportional to 411,225.97, 616,847.41 and 126,916.71 is: 190,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,225.97 : 616,847.41 = 126,916.71 : x
  2. Step 2: Convert to fraction form
    411,225.97/616,847.41 = 126,916.71/x
  3. Step 3: Cross multiply
    411,225.97x = 616,847.41 × 126,916.71
  4. Step 4: Simplify right side
    411,225.97x = 78,288,243,849.22
  5. Step 5: Solve for x
    x = 78,288,243,849.22/411,225.97
  6. Step 6: Final answer
    x = 190,377.67

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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.