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Finding the Fourth Proportional to 640,540.85, 960,484.49 and 213,923.00

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Solution

The fourth proportional to 640,540.85, 960,484.49 and 213,923.00 is: 320,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,540.85 : 960,484.49 = 213,923.00 : x
  2. Step 2: Convert to fraction form
    640,540.85/960,484.49 = 213,923.00/x
  3. Step 3: Cross multiply
    640,540.85x = 960,484.49 × 213,923.00
  4. Step 4: Simplify right side
    640,540.85x = 205,469,717,682.23
  5. Step 5: Solve for x
    x = 205,469,717,682.23/640,540.85
  6. Step 6: Final answer
    x = 320,775.35

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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.