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Finding the Fourth Proportional to 289,882.60, 434,853.66 and 100,342.67

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Solution

The fourth proportional to 289,882.60, 434,853.66 and 100,342.67 is: 150,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,882.60 : 434,853.66 = 100,342.67 : x
  2. Step 2: Convert to fraction form
    289,882.60/434,853.66 = 100,342.67/x
  3. Step 3: Cross multiply
    289,882.60x = 434,853.66 × 100,342.67
  4. Step 4: Simplify right side
    289,882.60x = 43,634,375,505.69
  5. Step 5: Solve for x
    x = 43,634,375,505.69/289,882.60
  6. Step 6: Final answer
    x = 150,524.30

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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.