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Finding the Fourth Proportional to 289,732.23, 434,717.91 and 156,455.54

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Solution

The fourth proportional to 289,732.23, 434,717.91 and 156,455.54 is: 234,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,732.23 : 434,717.91 = 156,455.54 : x
  2. Step 2: Convert to fraction form
    289,732.23/434,717.91 = 156,455.54/x
  3. Step 3: Cross multiply
    289,732.23x = 434,717.91 × 156,455.54
  4. Step 4: Simplify right side
    289,732.23x = 68,014,023,183.13
  5. Step 5: Solve for x
    x = 68,014,023,183.13/289,732.23
  6. Step 6: Final answer
    x = 234,747.87

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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.