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Finding the Fourth Proportional to 321,664.65, 443,888.64 and 185,694

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Solution

The fourth proportional to 321,664.65, 443,888.64 and 185,694 is: 256,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,664.65 : 443,888.64 = 185,694 : x
  2. Step 2: Convert to fraction form
    321,664.65/443,888.64 = 185,694/x
  3. Step 3: Cross multiply
    321,664.65x = 443,888.64 × 185,694
  4. Step 4: Simplify right side
    321,664.65x = 82,427,457,116.16
  5. Step 5: Solve for x
    x = 82,427,457,116.16/321,664.65
  6. Step 6: Final answer
    x = 256,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.