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Finding the Fourth Proportional to 640,563.54, 960,884.87 and 214,137.69

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Solution

The fourth proportional to 640,563.54, 960,884.87 and 214,137.69 is: 321,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,563.54 : 960,884.87 = 214,137.69 : x
  2. Step 2: Convert to fraction form
    640,563.54/960,884.87 = 214,137.69/x
  3. Step 3: Cross multiply
    640,563.54x = 960,884.87 × 214,137.69
  4. Step 4: Simplify right side
    640,563.54x = 205,761,665,347.06
  5. Step 5: Solve for x
    x = 205,761,665,347.06/640,563.54
  6. Step 6: Final answer
    x = 321,219.76

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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.