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Finding the Fourth Proportional to 539,216.20, 808,305.90 and 419,206.60

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Solution

The fourth proportional to 539,216.20, 808,305.90 and 419,206.60 is: 628,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,216.20 : 808,305.90 = 419,206.60 : x
  2. Step 2: Convert to fraction form
    539,216.20/808,305.90 = 419,206.60/x
  3. Step 3: Cross multiply
    539,216.20x = 808,305.90 × 419,206.60
  4. Step 4: Simplify right side
    539,216.20x = 338,847,168,098.94
  5. Step 5: Solve for x
    x = 338,847,168,098.94/539,216.20
  6. Step 6: Final answer
    x = 628,406.88

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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.