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Finding the Fourth Proportional to 305,734, 458,432.61 and 163,745.68

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Solution

The fourth proportional to 305,734, 458,432.61 and 163,745.68 is: 245,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,734 : 458,432.61 = 163,745.68 : x
  2. Step 2: Convert to fraction form
    305,734/458,432.61 = 163,745.68/x
  3. Step 3: Cross multiply
    305,734x = 458,432.61 × 163,745.68
  4. Step 4: Simplify right side
    305,734x = 75,066,359,458.62
  5. Step 5: Solve for x
    x = 75,066,359,458.62/305,734
  6. Step 6: Final answer
    x = 245,528.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.