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Finding the Fourth Proportional to 640,809.87, 961,314.48 and 214,213.65

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Solution

The fourth proportional to 640,809.87, 961,314.48 and 214,213.65 is: 321,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,809.87 : 961,314.48 = 214,213.65 : x
  2. Step 2: Convert to fraction form
    640,809.87/961,314.48 = 214,213.65/x
  3. Step 3: Cross multiply
    640,809.87x = 961,314.48 × 214,213.65
  4. Step 4: Simplify right side
    640,809.87x = 205,926,683,558.65
  5. Step 5: Solve for x
    x = 205,926,683,558.65/640,809.87
  6. Step 6: Final answer
    x = 321,353.79

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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.