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Finding the Fourth Proportional to 589,724, 813,819.48 and 321,452

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Solution

The fourth proportional to 589,724, 813,819.48 and 321,452 is: 443,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,724 : 813,819.48 = 321,452 : x
  2. Step 2: Convert to fraction form
    589,724/813,819.48 = 321,452/x
  3. Step 3: Cross multiply
    589,724x = 813,819.48 × 321,452
  4. Step 4: Simplify right side
    589,724x = 261,603,899,484.96
  5. Step 5: Solve for x
    x = 261,603,899,484.96/589,724
  6. Step 6: Final answer
    x = 443,603.96

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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.