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Finding the Fourth Proportional to 533,878,870.80, 800,818,306.20 and 419,217,085.20

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Solution

The fourth proportional to 533,878,870.80, 800,818,306.20 and 419,217,085.20 is: 628,825,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,878,870.80 : 800,818,306.20 = 419,217,085.20 : x
  2. Step 2: Convert to fraction form
    533,878,870.80/800,818,306.20 = 419,217,085.20/x
  3. Step 3: Cross multiply
    533,878,870.80x = 800,818,306.20 × 419,217,085.20
  4. Step 4: Simplify right side
    533,878,870.80x = 335,716,716,099,965,120
  5. Step 5: Solve for x
    x = 335,716,716,099,965,120/533,878,870.80
  6. Step 6: Final answer
    x = 628,825,627.80

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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.