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Finding the Fourth Proportional to 303,909.34, 419,373.91 and 167,942

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Solution

The fourth proportional to 303,909.34, 419,373.91 and 167,942 is: 231,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,909.34 : 419,373.91 = 167,942 : x
  2. Step 2: Convert to fraction form
    303,909.34/419,373.91 = 167,942/x
  3. Step 3: Cross multiply
    303,909.34x = 419,373.91 × 167,942
  4. Step 4: Simplify right side
    303,909.34x = 70,430,493,193.22
  5. Step 5: Solve for x
    x = 70,430,493,193.22/303,909.34
  6. Step 6: Final answer
    x = 231,748.37

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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.