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Finding the Fourth Proportional to 640,420.84, 960,596.63 and 324,869.55

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Solution

The fourth proportional to 640,420.84, 960,596.63 and 324,869.55 is: 487,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,420.84 : 960,596.63 = 324,869.55 : x
  2. Step 2: Convert to fraction form
    640,420.84/960,596.63 = 324,869.55/x
  3. Step 3: Cross multiply
    640,420.84x = 960,596.63 × 324,869.55
  4. Step 4: Simplify right side
    640,420.84x = 312,068,594,919.62
  5. Step 5: Solve for x
    x = 312,068,594,919.62/640,420.84
  6. Step 6: Final answer
    x = 487,286.76

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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.