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Finding the Fourth Proportional to 539,418, 809,165.88 and 206,994

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Solution

The fourth proportional to 539,418, 809,165.88 and 206,994 is: 310,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,418 : 809,165.88 = 206,994 : x
  2. Step 2: Convert to fraction form
    539,418/809,165.88 = 206,994/x
  3. Step 3: Cross multiply
    539,418x = 809,165.88 × 206,994
  4. Step 4: Simplify right side
    539,418x = 167,492,482,164.72
  5. Step 5: Solve for x
    x = 167,492,482,164.72/539,418
  6. Step 6: Final answer
    x = 310,505.92

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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.