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Finding the Fourth Proportional to 475,169.70, 655,734.15 and 284,183.09

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Solution

The fourth proportional to 475,169.70, 655,734.15 and 284,183.09 is: 392,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,169.70 : 655,734.15 = 284,183.09 : x
  2. Step 2: Convert to fraction form
    475,169.70/655,734.15 = 284,183.09/x
  3. Step 3: Cross multiply
    475,169.70x = 655,734.15 × 284,183.09
  4. Step 4: Simplify right side
    475,169.70x = 186,348,553,686.85
  5. Step 5: Solve for x
    x = 186,348,553,686.85/475,169.70
  6. Step 6: Final answer
    x = 392,172.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.