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Finding the Fourth Proportional to 589,331, 813,276.78 and 321,059

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Solution

The fourth proportional to 589,331, 813,276.78 and 321,059 is: 443,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,331 : 813,276.78 = 321,059 : x
  2. Step 2: Convert to fraction form
    589,331/813,276.78 = 321,059/x
  3. Step 3: Cross multiply
    589,331x = 813,276.78 × 321,059
  4. Step 4: Simplify right side
    589,331x = 261,109,829,710.02
  5. Step 5: Solve for x
    x = 261,109,829,710.02/589,331
  6. Step 6: Final answer
    x = 443,061.42

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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.