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Finding the Fourth Proportional to 539,616.75, 809,284.13 and 160,435.36

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Solution

The fourth proportional to 539,616.75, 809,284.13 and 160,435.36 is: 240,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,616.75 : 809,284.13 = 160,435.36 : x
  2. Step 2: Convert to fraction form
    539,616.75/809,284.13 = 160,435.36/x
  3. Step 3: Cross multiply
    539,616.75x = 809,284.13 × 160,435.36
  4. Step 4: Simplify right side
    539,616.75x = 129,837,790,738.84
  5. Step 5: Solve for x
    x = 129,837,790,738.84/539,616.75
  6. Step 6: Final answer
    x = 240,611.12

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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.