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Finding the Fourth Proportional to 289,794.90, 434,908.35 and 149,481.30

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Solution

The fourth proportional to 289,794.90, 434,908.35 and 149,481.30 is: 224,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,794.90 : 434,908.35 = 149,481.30 : x
  2. Step 2: Convert to fraction form
    289,794.90/434,908.35 = 149,481.30/x
  3. Step 3: Cross multiply
    289,794.90x = 434,908.35 × 149,481.30
  4. Step 4: Simplify right side
    289,794.90x = 65,010,665,538.86
  5. Step 5: Solve for x
    x = 65,010,665,538.86/289,794.90
  6. Step 6: Final answer
    x = 224,333.37

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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.