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Finding the Fourth Proportional to 539,635.82, 809,312.67 and 160,454.44

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Solution

The fourth proportional to 539,635.82, 809,312.67 and 160,454.44 is: 240,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,635.82 : 809,312.67 = 160,454.44 : x
  2. Step 2: Convert to fraction form
    539,635.82/809,312.67 = 160,454.44/x
  3. Step 3: Cross multiply
    539,635.82x = 809,312.67 × 160,454.44
  4. Step 4: Simplify right side
    539,635.82x = 129,857,808,816.54
  5. Step 5: Solve for x
    x = 129,857,808,816.54/539,635.82
  6. Step 6: Final answer
    x = 240,639.71

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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.