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Finding the Fourth Proportional to 320,168.92, 479,871.66 and 149,161.24

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Solution

The fourth proportional to 320,168.92, 479,871.66 and 149,161.24 is: 223,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,168.92 : 479,871.66 = 149,161.24 : x
  2. Step 2: Convert to fraction form
    320,168.92/479,871.66 = 149,161.24/x
  3. Step 3: Cross multiply
    320,168.92x = 479,871.66 × 149,161.24
  4. Step 4: Simplify right side
    320,168.92x = 71,578,251,846.46
  5. Step 5: Solve for x
    x = 71,578,251,846.46/320,168.92
  6. Step 6: Final answer
    x = 223,564.02

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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.