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Finding the Fourth Proportional to 475,894.90, 656,789.85 and 284,908.18

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Solution

The fourth proportional to 475,894.90, 656,789.85 and 284,908.18 is: 393,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,894.90 : 656,789.85 = 284,908.18 : x
  2. Step 2: Convert to fraction form
    475,894.90/656,789.85 = 284,908.18/x
  3. Step 3: Cross multiply
    475,894.90x = 656,789.85 × 284,908.18
  4. Step 4: Simplify right side
    475,894.90x = 187,124,800,805.97
  5. Step 5: Solve for x
    x = 187,124,800,805.97/475,894.90
  6. Step 6: Final answer
    x = 393,206.15

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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.