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Finding the Fourth Proportional to 419,616,033.60, 629,990,920.80 and 266,561,025.60

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Solution

The fourth proportional to 419,616,033.60, 629,990,920.80 and 266,561,025.60 is: 400,201,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616,033.60 : 629,990,920.80 = 266,561,025.60 : x
  2. Step 2: Convert to fraction form
    419,616,033.60/629,990,920.80 = 266,561,025.60/x
  3. Step 3: Cross multiply
    419,616,033.60x = 629,990,920.80 × 266,561,025.60
  4. Step 4: Simplify right side
    419,616,033.60x = 167,931,025,967,136,352
  5. Step 5: Solve for x
    x = 167,931,025,967,136,352/419,616,033.60
  6. Step 6: Final answer
    x = 400,201,642.74

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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.