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Finding the Fourth Proportional to 394,300.76, 591,429.87 and 225,715.86

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Solution

The fourth proportional to 394,300.76, 591,429.87 and 225,715.86 is: 338,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,300.76 : 591,429.87 = 225,715.86 : x
  2. Step 2: Convert to fraction form
    394,300.76/591,429.87 = 225,715.86/x
  3. Step 3: Cross multiply
    394,300.76x = 591,429.87 × 225,715.86
  4. Step 4: Simplify right side
    394,300.76x = 133,495,101,736.74
  5. Step 5: Solve for x
    x = 133,495,101,736.74/394,300.76
  6. Step 6: Final answer
    x = 338,561.62

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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.