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Finding the Fourth Proportional to 486,058.56, 729,109.92 and 149,074.56

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Solution

The fourth proportional to 486,058.56, 729,109.92 and 149,074.56 is: 223,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,058.56 : 729,109.92 = 149,074.56 : x
  2. Step 2: Convert to fraction form
    486,058.56/729,109.92 = 149,074.56/x
  3. Step 3: Cross multiply
    486,058.56x = 729,109.92 × 149,074.56
  4. Step 4: Simplify right side
    486,058.56x = 108,691,740,515.64
  5. Step 5: Solve for x
    x = 108,691,740,515.64/486,058.56
  6. Step 6: Final answer
    x = 223,618.61

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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.