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Finding the Fourth Proportional to 289,958.77, 434,581.21 and 138,235.78

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Solution

The fourth proportional to 289,958.77, 434,581.21 and 138,235.78 is: 207,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958.77 : 434,581.21 = 138,235.78 : x
  2. Step 2: Convert to fraction form
    289,958.77/434,581.21 = 138,235.78/x
  3. Step 3: Cross multiply
    289,958.77x = 434,581.21 × 138,235.78
  4. Step 4: Simplify right side
    289,958.77x = 60,074,669,673.61
  5. Step 5: Solve for x
    x = 60,074,669,673.61/289,958.77
  6. Step 6: Final answer
    x = 207,183.49

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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.