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Finding the Fourth Proportional to 310,556.62, 428,701.17 and 213,896.08

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Solution

The fourth proportional to 310,556.62, 428,701.17 and 213,896.08 is: 295,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556.62 : 428,701.17 = 213,896.08 : x
  2. Step 2: Convert to fraction form
    310,556.62/428,701.17 = 213,896.08/x
  3. Step 3: Cross multiply
    310,556.62x = 428,701.17 × 213,896.08
  4. Step 4: Simplify right side
    310,556.62x = 91,697,499,754.41
  5. Step 5: Solve for x
    x = 91,697,499,754.41/310,556.62
  6. Step 6: Final answer
    x = 295,268.22

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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.