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Finding the Fourth Proportional to 539,220.80, 809,487.30 and 272,844.20

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Solution

The fourth proportional to 539,220.80, 809,487.30 and 272,844.20 is: 409,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,220.80 : 809,487.30 = 272,844.20 : x
  2. Step 2: Convert to fraction form
    539,220.80/809,487.30 = 272,844.20/x
  3. Step 3: Cross multiply
    539,220.80x = 809,487.30 × 272,844.20
  4. Step 4: Simplify right side
    539,220.80x = 220,863,914,778.66
  5. Step 5: Solve for x
    x = 220,863,914,778.66/539,220.80
  6. Step 6: Final answer
    x = 409,598.28

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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.