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Finding the Fourth Proportional to 551,188,378.80, 826,782,568.20 and 455,528,998.80

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Solution

The fourth proportional to 551,188,378.80, 826,782,568.20 and 455,528,998.80 is: 683,293,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,188,378.80 : 826,782,568.20 = 455,528,998.80 : x
  2. Step 2: Convert to fraction form
    551,188,378.80/826,782,568.20 = 455,528,998.80/x
  3. Step 3: Cross multiply
    551,188,378.80x = 826,782,568.20 × 455,528,998.80
  4. Step 4: Simplify right side
    551,188,378.80x = 376,623,435,517,438,720
  5. Step 5: Solve for x
    x = 376,623,435,517,438,720/551,188,378.80
  6. Step 6: Final answer
    x = 683,293,498.20

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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.