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Finding the Fourth Proportional to 289,180.75, 399,074.37 and 158,369.91

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Solution

The fourth proportional to 289,180.75, 399,074.37 and 158,369.91 is: 218,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,180.75 : 399,074.37 = 158,369.91 : x
  2. Step 2: Convert to fraction form
    289,180.75/399,074.37 = 158,369.91/x
  3. Step 3: Cross multiply
    289,180.75x = 399,074.37 × 158,369.91
  4. Step 4: Simplify right side
    289,180.75x = 63,201,372,060.21
  5. Step 5: Solve for x
    x = 63,201,372,060.21/289,180.75
  6. Step 6: Final answer
    x = 218,553.18

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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.