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Finding the Fourth Proportional to 640,418.40, 960,611.05 and 208,133.44

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Solution

The fourth proportional to 640,418.40, 960,611.05 and 208,133.44 is: 312,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,418.40 : 960,611.05 = 208,133.44 : x
  2. Step 2: Convert to fraction form
    640,418.40/960,611.05 = 208,133.44/x
  3. Step 3: Cross multiply
    640,418.40x = 960,611.05 × 208,133.44
  4. Step 4: Simplify right side
    640,418.40x = 199,935,279,416.65
  5. Step 5: Solve for x
    x = 199,935,279,416.65/640,418.40
  6. Step 6: Final answer
    x = 312,194.78

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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.