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Finding the Fourth Proportional to 413,495.91, 620,260.27 and 129,377.27

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Solution

The fourth proportional to 413,495.91, 620,260.27 and 129,377.27 is: 194,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,495.91 : 620,260.27 = 129,377.27 : x
  2. Step 2: Convert to fraction form
    413,495.91/620,260.27 = 129,377.27/x
  3. Step 3: Cross multiply
    413,495.91x = 620,260.27 × 129,377.27
  4. Step 4: Simplify right side
    413,495.91x = 80,247,581,649.27
  5. Step 5: Solve for x
    x = 80,247,581,649.27/413,495.91
  6. Step 6: Final answer
    x = 194,071.04

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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.