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Finding the Fourth Proportional to 640,405.20, 960,498.48 and 213,882

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Solution

The fourth proportional to 640,405.20, 960,498.48 and 213,882 is: 320,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,405.20 : 960,498.48 = 213,882 : x
  2. Step 2: Convert to fraction form
    640,405.20/960,498.48 = 213,882/x
  3. Step 3: Cross multiply
    640,405.20x = 960,498.48 × 213,882
  4. Step 4: Simplify right side
    640,405.20x = 205,433,335,899.36
  5. Step 5: Solve for x
    x = 205,433,335,899.36/640,405.20
  6. Step 6: Final answer
    x = 320,786.49

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1.5x scale

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.