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Finding the Fourth Proportional to 539,732.30, 809,598.45 and 382,138.70

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Solution

The fourth proportional to 539,732.30, 809,598.45 and 382,138.70 is: 573,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,732.30 : 809,598.45 = 382,138.70 : x
  2. Step 2: Convert to fraction form
    539,732.30/809,598.45 = 382,138.70/x
  3. Step 3: Cross multiply
    539,732.30x = 809,598.45 × 382,138.70
  4. Step 4: Simplify right side
    539,732.30x = 309,378,899,205.02
  5. Step 5: Solve for x
    x = 309,378,899,205.02/539,732.30
  6. Step 6: Final answer
    x = 573,208.05

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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.