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Finding the Fourth Proportional to 551,872.80, 827,809.20 and 410,155.20

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Solution

The fourth proportional to 551,872.80, 827,809.20 and 410,155.20 is: 615,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,872.80 : 827,809.20 = 410,155.20 : x
  2. Step 2: Convert to fraction form
    551,872.80/827,809.20 = 410,155.20/x
  3. Step 3: Cross multiply
    551,872.80x = 827,809.20 × 410,155.20
  4. Step 4: Simplify right side
    551,872.80x = 339,530,247,987.84
  5. Step 5: Solve for x
    x = 339,530,247,987.84/551,872.80
  6. Step 6: Final answer
    x = 615,232.80

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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.