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Finding the Fourth Proportional to 289,393.35, 434,090.21 and 120,821.79

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Solution

The fourth proportional to 289,393.35, 434,090.21 and 120,821.79 is: 181,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,393.35 : 434,090.21 = 120,821.79 : x
  2. Step 2: Convert to fraction form
    289,393.35/434,090.21 = 120,821.79/x
  3. Step 3: Cross multiply
    289,393.35x = 434,090.21 × 120,821.79
  4. Step 4: Simplify right side
    289,393.35x = 52,447,555,589.57
  5. Step 5: Solve for x
    x = 52,447,555,589.57/289,393.35
  6. Step 6: Final answer
    x = 181,232.76

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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.