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Finding the Fourth Proportional to 305,811.32, 422,005.28 and 169,854.03

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Solution

The fourth proportional to 305,811.32, 422,005.28 and 169,854.03 is: 234,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,811.32 : 422,005.28 = 169,854.03 : x
  2. Step 2: Convert to fraction form
    305,811.32/422,005.28 = 169,854.03/x
  3. Step 3: Cross multiply
    305,811.32x = 422,005.28 × 169,854.03
  4. Step 4: Simplify right side
    305,811.32x = 71,679,296,640.01
  5. Step 5: Solve for x
    x = 71,679,296,640.01/305,811.32
  6. Step 6: Final answer
    x = 234,390.60

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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.