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Finding the Fourth Proportional to 205,859.20, 308,497.20 and 180,781.60

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Solution

The fourth proportional to 205,859.20, 308,497.20 and 180,781.60 is: 270,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,859.20 : 308,497.20 = 180,781.60 : x
  2. Step 2: Convert to fraction form
    205,859.20/308,497.20 = 180,781.60/x
  3. Step 3: Cross multiply
    205,859.20x = 308,497.20 × 180,781.60
  4. Step 4: Simplify right side
    205,859.20x = 55,770,617,411.52
  5. Step 5: Solve for x
    x = 55,770,617,411.52/205,859.20
  6. Step 6: Final answer
    x = 270,916.32

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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.