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Finding the Fourth Proportional to 263,590.80, 395,648.64 and 145,317.84

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Solution

The fourth proportional to 263,590.80, 395,648.64 and 145,317.84 is: 218,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,590.80 : 395,648.64 = 145,317.84 : x
  2. Step 2: Convert to fraction form
    263,590.80/395,648.64 = 145,317.84/x
  3. Step 3: Cross multiply
    263,590.80x = 395,648.64 × 145,317.84
  4. Step 4: Simplify right side
    263,590.80x = 57,494,805,763.74
  5. Step 5: Solve for x
    x = 57,494,805,763.74/263,590.80
  6. Step 6: Final answer
    x = 218,121.44

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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.