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Finding the Fourth Proportional to 533,878,882.80, 800,818,324.20 and 419,217,097.20

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Solution

The fourth proportional to 533,878,882.80, 800,818,324.20 and 419,217,097.20 is: 628,825,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,878,882.80 : 800,818,324.20 = 419,217,097.20 : x
  2. Step 2: Convert to fraction form
    533,878,882.80/800,818,324.20 = 419,217,097.20/x
  3. Step 3: Cross multiply
    533,878,882.80x = 800,818,324.20 × 419,217,097.20
  4. Step 4: Simplify right side
    533,878,882.80x = 335,716,733,255,692,544
  5. Step 5: Solve for x
    x = 335,716,733,255,692,544/533,878,882.80
  6. Step 6: Final answer
    x = 628,825,645.80

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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.