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Finding the Fourth Proportional to 512,815,201.20, 769,222,801.80 and 461,754,874.80

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Solution

The fourth proportional to 512,815,201.20, 769,222,801.80 and 461,754,874.80 is: 692,632,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,815,201.20 : 769,222,801.80 = 461,754,874.80 : x
  2. Step 2: Convert to fraction form
    512,815,201.20/769,222,801.80 = 461,754,874.80/x
  3. Step 3: Cross multiply
    512,815,201.20x = 769,222,801.80 × 461,754,874.80
  4. Step 4: Simplify right side
    512,815,201.20x = 355,192,378,538,464,192
  5. Step 5: Solve for x
    x = 355,192,378,538,464,192/512,815,201.20
  6. Step 6: Final answer
    x = 692,632,312.20

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1.5x scale

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.