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Finding the Fourth Proportional to 323,785, 446,823.30 and 189,649

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Solution

The fourth proportional to 323,785, 446,823.30 and 189,649 is: 261,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,785 : 446,823.30 = 189,649 : x
  2. Step 2: Convert to fraction form
    323,785/446,823.30 = 189,649/x
  3. Step 3: Cross multiply
    323,785x = 446,823.30 × 189,649
  4. Step 4: Simplify right side
    323,785x = 84,739,592,021.70
  5. Step 5: Solve for x
    x = 84,739,592,021.70/323,785
  6. Step 6: Final answer
    x = 261,715.62

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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.