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Finding the Fourth Proportional to 289,189.47, 399,081.33 and 161,865.03

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Solution

The fourth proportional to 289,189.47, 399,081.33 and 161,865.03 is: 223,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,189.47 : 399,081.33 = 161,865.03 : x
  2. Step 2: Convert to fraction form
    289,189.47/399,081.33 = 161,865.03/x
  3. Step 3: Cross multiply
    289,189.47x = 399,081.33 × 161,865.03
  4. Step 4: Simplify right side
    289,189.47x = 64,597,311,452.89
  5. Step 5: Solve for x
    x = 64,597,311,452.89/289,189.47
  6. Step 6: Final answer
    x = 223,373.66

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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.