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Finding the Fourth Proportional to 539,615.75, 809,282.63 and 160,434.36

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Solution

The fourth proportional to 539,615.75, 809,282.63 and 160,434.36 is: 240,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,615.75 : 809,282.63 = 160,434.36 : x
  2. Step 2: Convert to fraction form
    539,615.75/809,282.63 = 160,434.36/x
  3. Step 3: Cross multiply
    539,615.75x = 809,282.63 × 160,434.36
  4. Step 4: Simplify right side
    539,615.75x = 129,836,741,204.25
  5. Step 5: Solve for x
    x = 129,836,741,204.25/539,615.75
  6. Step 6: Final answer
    x = 240,609.62

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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.