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Finding the Fourth Proportional to 539,832.80, 809,768.40 and 165,855.20

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Solution

The fourth proportional to 539,832.80, 809,768.40 and 165,855.20 is: 248,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,832.80 : 809,768.40 = 165,855.20 : x
  2. Step 2: Convert to fraction form
    539,832.80/809,768.40 = 165,855.20/x
  3. Step 3: Cross multiply
    539,832.80x = 809,768.40 × 165,855.20
  4. Step 4: Simplify right side
    539,832.80x = 134,304,299,935.68
  5. Step 5: Solve for x
    x = 134,304,299,935.68/539,832.80
  6. Step 6: Final answer
    x = 248,788.70

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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.