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Finding the Fourth Proportional to 589,446.61, 813,436.33 and 321,174.61

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Solution

The fourth proportional to 589,446.61, 813,436.33 and 321,174.61 is: 443,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,446.61 : 813,436.33 = 321,174.61 : x
  2. Step 2: Convert to fraction form
    589,446.61/813,436.33 = 321,174.61/x
  3. Step 3: Cross multiply
    589,446.61x = 813,436.33 × 321,174.61
  4. Step 4: Simplify right side
    589,446.61x = 261,255,097,465.85
  5. Step 5: Solve for x
    x = 261,255,097,465.85/589,446.61
  6. Step 6: Final answer
    x = 443,220.97

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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.