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Finding the Fourth Proportional to 354,441.29, 531,695.03 and 141,157.76

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Solution

The fourth proportional to 354,441.29, 531,695.03 and 141,157.76 is: 211,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,441.29 : 531,695.03 = 141,157.76 : x
  2. Step 2: Convert to fraction form
    354,441.29/531,695.03 = 141,157.76/x
  3. Step 3: Cross multiply
    354,441.29x = 531,695.03 × 141,157.76
  4. Step 4: Simplify right side
    354,441.29x = 75,052,876,073.67
  5. Step 5: Solve for x
    x = 75,052,876,073.67/354,441.29
  6. Step 6: Final answer
    x = 211,749.81

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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.