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Finding the Fourth Proportional to 405,489.49, 607,836.96 and 225,660.67

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Solution

The fourth proportional to 405,489.49, 607,836.96 and 225,660.67 is: 338,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,489.49 : 607,836.96 = 225,660.67 : x
  2. Step 2: Convert to fraction form
    405,489.49/607,836.96 = 225,660.67/x
  3. Step 3: Cross multiply
    405,489.49x = 607,836.96 × 225,660.67
  4. Step 4: Simplify right side
    405,489.49x = 137,164,894,124.77
  5. Step 5: Solve for x
    x = 137,164,894,124.77/405,489.49
  6. Step 6: Final answer
    x = 338,269.91

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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.