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Finding the Fourth Proportional to 339,421.88, 509,347.20 and 189,760.34

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Solution

The fourth proportional to 339,421.88, 509,347.20 and 189,760.34 is: 284,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,421.88 : 509,347.20 = 189,760.34 : x
  2. Step 2: Convert to fraction form
    339,421.88/509,347.20 = 189,760.34/x
  3. Step 3: Cross multiply
    339,421.88x = 509,347.20 × 189,760.34
  4. Step 4: Simplify right side
    339,421.88x = 96,653,897,850.05
  5. Step 5: Solve for x
    x = 96,653,897,850.05/339,421.88
  6. Step 6: Final answer
    x = 284,760.36

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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.