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Finding the Fourth Proportional to 442,768.81, 664,644.89 and 229,479.61

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Solution

The fourth proportional to 442,768.81, 664,644.89 and 229,479.61 is: 344,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,768.81 : 664,644.89 = 229,479.61 : x
  2. Step 2: Convert to fraction form
    442,768.81/664,644.89 = 229,479.61/x
  3. Step 3: Cross multiply
    442,768.81x = 664,644.89 × 229,479.61
  4. Step 4: Simplify right side
    442,768.81x = 152,522,450,145.69
  5. Step 5: Solve for x
    x = 152,522,450,145.69/442,768.81
  6. Step 6: Final answer
    x = 344,474.24

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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.