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Finding the Fourth Proportional to 305,788.71, 422,002.43 and 169,823.28

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Solution

The fourth proportional to 305,788.71, 422,002.43 and 169,823.28 is: 234,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,788.71 : 422,002.43 = 169,823.28 : x
  2. Step 2: Convert to fraction form
    305,788.71/422,002.43 = 169,823.28/x
  3. Step 3: Cross multiply
    305,788.71x = 422,002.43 × 169,823.28
  4. Step 4: Simplify right side
    305,788.71x = 71,665,834,720.56
  5. Step 5: Solve for x
    x = 71,665,834,720.56/305,788.71
  6. Step 6: Final answer
    x = 234,363.90

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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.