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Finding the Fourth Proportional to 640,128.28, 960,795 and 324,811.48

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Solution

The fourth proportional to 640,128.28, 960,795 and 324,811.48 is: 487,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,128.28 : 960,795 = 324,811.48 : x
  2. Step 2: Convert to fraction form
    640,128.28/960,795 = 324,811.48/x
  3. Step 3: Cross multiply
    640,128.28x = 960,795 × 324,811.48
  4. Step 4: Simplify right side
    640,128.28x = 312,077,245,926.60
  5. Step 5: Solve for x
    x = 312,077,245,926.60/640,128.28
  6. Step 6: Final answer
    x = 487,522.98

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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.