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Finding the Fourth Proportional to 589,990.78, 814,185.76 and 321,718.78

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Solution

The fourth proportional to 589,990.78, 814,185.76 and 321,718.78 is: 443,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,990.78 : 814,185.76 = 321,718.78 : x
  2. Step 2: Convert to fraction form
    589,990.78/814,185.76 = 321,718.78/x
  3. Step 3: Cross multiply
    589,990.78x = 814,185.76 × 321,718.78
  4. Step 4: Simplify right side
    589,990.78x = 261,938,849,400.57
  5. Step 5: Solve for x
    x = 261,938,849,400.57/589,990.78
  6. Step 6: Final answer
    x = 443,971.09

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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.