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Finding the Fourth Proportional to 289,049.88, 398,888.83 and 161,750.07

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Solution

The fourth proportional to 289,049.88, 398,888.83 and 161,750.07 is: 223,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,049.88 : 398,888.83 = 161,750.07 : x
  2. Step 2: Convert to fraction form
    289,049.88/398,888.83 = 161,750.07/x
  3. Step 3: Cross multiply
    289,049.88x = 398,888.83 × 161,750.07
  4. Step 4: Simplify right side
    289,049.88x = 64,520,296,174.72
  5. Step 5: Solve for x
    x = 64,520,296,174.72/289,049.88
  6. Step 6: Final answer
    x = 223,215.09

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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.