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Finding the Fourth Proportional to 378,880.67, 522,860.26 and 223,837.06

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Solution

The fourth proportional to 378,880.67, 522,860.26 and 223,837.06 is: 308,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,880.67 : 522,860.26 = 223,837.06 : x
  2. Step 2: Convert to fraction form
    378,880.67/522,860.26 = 223,837.06/x
  3. Step 3: Cross multiply
    378,880.67x = 522,860.26 × 223,837.06
  4. Step 4: Simplify right side
    378,880.67x = 117,035,504,322.61
  5. Step 5: Solve for x
    x = 117,035,504,322.61/378,880.67
  6. Step 6: Final answer
    x = 308,898.06

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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.