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Finding the Fourth Proportional to 289,546.62, 434,213.22 and 99,958.56

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Solution

The fourth proportional to 289,546.62, 434,213.22 and 99,958.56 is: 149,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546.62 : 434,213.22 = 99,958.56 : x
  2. Step 2: Convert to fraction form
    289,546.62/434,213.22 = 99,958.56/x
  3. Step 3: Cross multiply
    289,546.62x = 434,213.22 × 99,958.56
  4. Step 4: Simplify right side
    289,546.62x = 43,403,328,204.16
  5. Step 5: Solve for x
    x = 43,403,328,204.16/289,546.62
  6. Step 6: Final answer
    x = 149,901.00

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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.