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Finding the Fourth Proportional to 539,415.43, 809,284.13 and 160,348.79

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Solution

The fourth proportional to 539,415.43, 809,284.13 and 160,348.79 is: 240,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,415.43 : 809,284.13 = 160,348.79 : x
  2. Step 2: Convert to fraction form
    539,415.43/809,284.13 = 160,348.79/x
  3. Step 3: Cross multiply
    539,415.43x = 809,284.13 × 160,348.79
  4. Step 4: Simplify right side
    539,415.43x = 129,767,732,834.48
  5. Step 5: Solve for x
    x = 129,767,732,834.48/539,415.43
  6. Step 6: Final answer
    x = 240,571.04

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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.