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Finding the Fourth Proportional to 305,886.70, 422,111.92 and 169,929.20

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Solution

The fourth proportional to 305,886.70, 422,111.92 and 169,929.20 is: 234,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.70 : 422,111.92 = 169,929.20 : x
  2. Step 2: Convert to fraction form
    305,886.70/422,111.92 = 169,929.20/x
  3. Step 3: Cross multiply
    305,886.70x = 422,111.92 × 169,929.20
  4. Step 4: Simplify right side
    305,886.70x = 71,729,140,160.02
  5. Step 5: Solve for x
    x = 71,729,140,160.02/305,886.70
  6. Step 6: Final answer
    x = 234,495.78

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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.