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Finding the Fourth Proportional to 640,418.70, 960,647.49 and 219,688.50

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Solution

The fourth proportional to 640,418.70, 960,647.49 and 219,688.50 is: 329,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,418.70 : 960,647.49 = 219,688.50 : x
  2. Step 2: Convert to fraction form
    640,418.70/960,647.49 = 219,688.50/x
  3. Step 3: Cross multiply
    640,418.70x = 960,647.49 × 219,688.50
  4. Step 4: Simplify right side
    640,418.70x = 211,043,206,106.87
  5. Step 5: Solve for x
    x = 211,043,206,106.87/640,418.70
  6. Step 6: Final answer
    x = 329,539.42

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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.