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Finding the Fourth Proportional to 475,790, 656,590.20 and 263,822

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Solution

The fourth proportional to 475,790, 656,590.20 and 263,822 is: 364,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,790 : 656,590.20 = 263,822 : x
  2. Step 2: Convert to fraction form
    475,790/656,590.20 = 263,822/x
  3. Step 3: Cross multiply
    475,790x = 656,590.20 × 263,822
  4. Step 4: Simplify right side
    475,790x = 173,222,939,744.40
  5. Step 5: Solve for x
    x = 173,222,939,744.40/475,790
  6. Step 6: Final answer
    x = 364,074.36

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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.