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Finding the Fourth Proportional to 255,792.20, 384,149.10 and 247,497.80

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Solution

The fourth proportional to 255,792.20, 384,149.10 and 247,497.80 is: 371,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,792.20 : 384,149.10 = 247,497.80 : x
  2. Step 2: Convert to fraction form
    255,792.20/384,149.10 = 247,497.80/x
  3. Step 3: Cross multiply
    255,792.20x = 384,149.10 × 247,497.80
  4. Step 4: Simplify right side
    255,792.20x = 95,076,057,121.98
  5. Step 5: Solve for x
    x = 95,076,057,121.98/255,792.20
  6. Step 6: Final answer
    x = 371,692.56

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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.