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Finding the Fourth Proportional to 309,606.81, 464,541.71 and 169,201.41

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Solution

The fourth proportional to 309,606.81, 464,541.71 and 169,201.41 is: 253,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,606.81 : 464,541.71 = 169,201.41 : x
  2. Step 2: Convert to fraction form
    309,606.81/464,541.71 = 169,201.41/x
  3. Step 3: Cross multiply
    309,606.81x = 464,541.71 × 169,201.41
  4. Step 4: Simplify right side
    309,606.81x = 78,601,111,489.80
  5. Step 5: Solve for x
    x = 78,601,111,489.80/309,606.81
  6. Step 6: Final answer
    x = 253,873.97

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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.