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Finding the Fourth Proportional to 431,331.96, 646,688.50 and 164,867.88

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Solution

The fourth proportional to 431,331.96, 646,688.50 and 164,867.88 is: 247,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,331.96 : 646,688.50 = 164,867.88 : x
  2. Step 2: Convert to fraction form
    431,331.96/646,688.50 = 164,867.88/x
  3. Step 3: Cross multiply
    431,331.96x = 646,688.50 × 164,867.88
  4. Step 4: Simplify right side
    431,331.96x = 106,618,162,015.38
  5. Step 5: Solve for x
    x = 106,618,162,015.38/431,331.96
  6. Step 6: Final answer
    x = 247,183.54

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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.