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Finding the Fourth Proportional to 629,856,002.40, 944,784,003.60 and 323,745,986.40

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Solution

The fourth proportional to 629,856,002.40, 944,784,003.60 and 323,745,986.40 is: 485,618,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,856,002.40 : 944,784,003.60 = 323,745,986.40 : x
  2. Step 2: Convert to fraction form
    629,856,002.40/944,784,003.60 = 323,745,986.40/x
  3. Step 3: Cross multiply
    629,856,002.40x = 944,784,003.60 × 323,745,986.40
  4. Step 4: Simplify right side
    629,856,002.40x = 305,870,029,180,423,168
  5. Step 5: Solve for x
    x = 305,870,029,180,423,168/629,856,002.40
  6. Step 6: Final answer
    x = 485,618,979.60

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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.