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Finding the Fourth Proportional to 603,613,913.20, 905,420,869.80 and 428,262,002.80

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Solution

The fourth proportional to 603,613,913.20, 905,420,869.80 and 428,262,002.80 is: 642,393,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,613,913.20 : 905,420,869.80 = 428,262,002.80 : x
  2. Step 2: Convert to fraction form
    603,613,913.20/905,420,869.80 = 428,262,002.80/x
  3. Step 3: Cross multiply
    603,613,913.20x = 905,420,869.80 × 428,262,002.80
  4. Step 4: Simplify right side
    603,613,913.20x = 387,757,355,077,466,048
  5. Step 5: Solve for x
    x = 387,757,355,077,466,048/603,613,913.20
  6. Step 6: Final answer
    x = 642,393,004.20

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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.