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Finding the Fourth Proportional to 339,993.64, 509,523.90 and 215,111.08

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Solution

The fourth proportional to 339,993.64, 509,523.90 and 215,111.08 is: 322,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,993.64 : 509,523.90 = 215,111.08 : x
  2. Step 2: Convert to fraction form
    339,993.64/509,523.90 = 215,111.08/x
  3. Step 3: Cross multiply
    339,993.64x = 509,523.90 × 215,111.08
  4. Step 4: Simplify right side
    339,993.64x = 109,604,236,414.81
  5. Step 5: Solve for x
    x = 109,604,236,414.81/339,993.64
  6. Step 6: Final answer
    x = 322,371.43

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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.