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Finding the Fourth Proportional to 539,221.20, 808,313.40 and 419,211.60

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Solution

The fourth proportional to 539,221.20, 808,313.40 and 419,211.60 is: 628,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,221.20 : 808,313.40 = 419,211.60 : x
  2. Step 2: Convert to fraction form
    539,221.20/808,313.40 = 419,211.60/x
  3. Step 3: Cross multiply
    539,221.20x = 808,313.40 × 419,211.60
  4. Step 4: Simplify right side
    539,221.20x = 338,854,353,715.44
  5. Step 5: Solve for x
    x = 338,854,353,715.44/539,221.20
  6. Step 6: Final answer
    x = 628,414.38

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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.