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Finding the Fourth Proportional to 539,447.20, 809,836.40 and 339,767.20

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Solution

The fourth proportional to 539,447.20, 809,836.40 and 339,767.20 is: 510,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,447.20 : 809,836.40 = 339,767.20 : x
  2. Step 2: Convert to fraction form
    539,447.20/809,836.40 = 339,767.20/x
  3. Step 3: Cross multiply
    539,447.20x = 809,836.40 × 339,767.20
  4. Step 4: Simplify right side
    539,447.20x = 275,155,846,086.08
  5. Step 5: Solve for x
    x = 275,155,846,086.08/539,447.20
  6. Step 6: Final answer
    x = 510,070.02

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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.