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Finding the Fourth Proportional to 539,814.80, 809,741.40 and 165,837.20

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Solution

The fourth proportional to 539,814.80, 809,741.40 and 165,837.20 is: 248,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,814.80 : 809,741.40 = 165,837.20 : x
  2. Step 2: Convert to fraction form
    539,814.80/809,741.40 = 165,837.20/x
  3. Step 3: Cross multiply
    539,814.80x = 809,741.40 × 165,837.20
  4. Step 4: Simplify right side
    539,814.80x = 134,285,246,500.08
  5. Step 5: Solve for x
    x = 134,285,246,500.08/539,814.80
  6. Step 6: Final answer
    x = 248,761.70

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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.