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Finding the Fourth Proportional to 354,149.87, 531,381.24 and 185,629.86

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Solution

The fourth proportional to 354,149.87, 531,381.24 and 185,629.86 is: 278,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.87 : 531,381.24 = 185,629.86 : x
  2. Step 2: Convert to fraction form
    354,149.87/531,381.24 = 185,629.86/x
  3. Step 3: Cross multiply
    354,149.87x = 531,381.24 × 185,629.86
  4. Step 4: Simplify right side
    354,149.87x = 98,640,225,187.83
  5. Step 5: Solve for x
    x = 98,640,225,187.83/354,149.87
  6. Step 6: Final answer
    x = 278,526.79

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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.