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Finding the Fourth Proportional to 539,770, 809,651.36 and 179,968.40

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Solution

The fourth proportional to 539,770, 809,651.36 and 179,968.40 is: 269,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,770 : 809,651.36 = 179,968.40 : x
  2. Step 2: Convert to fraction form
    539,770/809,651.36 = 179,968.40/x
  3. Step 3: Cross multiply
    539,770x = 809,651.36 × 179,968.40
  4. Step 4: Simplify right side
    539,770x = 145,711,659,817.02
  5. Step 5: Solve for x
    x = 145,711,659,817.02/539,770
  6. Step 6: Final answer
    x = 269,951.39

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1.5x scale

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.