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Finding the Fourth Proportional to 533,878,948.80, 800,818,423.20 and 419,217,163.20

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Solution

The fourth proportional to 533,878,948.80, 800,818,423.20 and 419,217,163.20 is: 628,825,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,878,948.80 : 800,818,423.20 = 419,217,163.20 : x
  2. Step 2: Convert to fraction form
    533,878,948.80/800,818,423.20 = 419,217,163.20/x
  3. Step 3: Cross multiply
    533,878,948.80x = 800,818,423.20 × 419,217,163.20
  4. Step 4: Simplify right side
    533,878,948.80x = 335,716,827,612,201,088
  5. Step 5: Solve for x
    x = 335,716,827,612,201,088/533,878,948.80
  6. Step 6: Final answer
    x = 628,825,744.80

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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.