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Finding the Fourth Proportional to 289,393.84, 434,120.82 and 79,031.75

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Solution

The fourth proportional to 289,393.84, 434,120.82 and 79,031.75 is: 118,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,393.84 : 434,120.82 = 79,031.75 : x
  2. Step 2: Convert to fraction form
    289,393.84/434,120.82 = 79,031.75/x
  3. Step 3: Cross multiply
    289,393.84x = 434,120.82 × 79,031.75
  4. Step 4: Simplify right side
    289,393.84x = 34,309,327,720.88
  5. Step 5: Solve for x
    x = 34,309,327,720.88/289,393.84
  6. Step 6: Final answer
    x = 118,555.83

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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.