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Finding the Fourth Proportional to 263,287.44, 363,282.96 and 155,803.68

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Solution

The fourth proportional to 263,287.44, 363,282.96 and 155,803.68 is: 214,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,287.44 : 363,282.96 = 155,803.68 : x
  2. Step 2: Convert to fraction form
    263,287.44/363,282.96 = 155,803.68/x
  3. Step 3: Cross multiply
    263,287.44x = 363,282.96 × 155,803.68
  4. Step 4: Simplify right side
    263,287.44x = 56,600,822,049.29
  5. Step 5: Solve for x
    x = 56,600,822,049.29/263,287.44
  6. Step 6: Final answer
    x = 214,977.30

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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.