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Finding the Fourth Proportional to 289,245.62, 399,155.91 and 161,922.26

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Solution

The fourth proportional to 289,245.62, 399,155.91 and 161,922.26 is: 223,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,245.62 : 399,155.91 = 161,922.26 : x
  2. Step 2: Convert to fraction form
    289,245.62/399,155.91 = 161,922.26/x
  3. Step 3: Cross multiply
    289,245.62x = 399,155.91 × 161,922.26
  4. Step 4: Simplify right side
    289,245.62x = 64,632,227,039.56
  5. Step 5: Solve for x
    x = 64,632,227,039.56/289,245.62
  6. Step 6: Final answer
    x = 223,451.01

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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.