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Finding the Fourth Proportional to 629,784,219.80, 944,676,329.70 and 400,768,578.20

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Solution

The fourth proportional to 629,784,219.80, 944,676,329.70 and 400,768,578.20 is: 601,152,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,784,219.80 : 944,676,329.70 = 400,768,578.20 : x
  2. Step 2: Convert to fraction form
    629,784,219.80/944,676,329.70 = 400,768,578.20/x
  3. Step 3: Cross multiply
    629,784,219.80x = 944,676,329.70 × 400,768,578.20
  4. Step 4: Simplify right side
    629,784,219.80x = 378,596,589,513,063,424
  5. Step 5: Solve for x
    x = 378,596,589,513,063,424/629,784,219.80
  6. Step 6: Final answer
    x = 601,152,867.30

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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.