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Finding the Fourth Proportional to 339,374.38, 509,276.14 and 189,712.90

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Solution

The fourth proportional to 339,374.38, 509,276.14 and 189,712.90 is: 284,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,374.38 : 509,276.14 = 189,712.90 : x
  2. Step 2: Convert to fraction form
    339,374.38/509,276.14 = 189,712.90/x
  3. Step 3: Cross multiply
    339,374.38x = 509,276.14 × 189,712.90
  4. Step 4: Simplify right side
    339,374.38x = 96,616,253,420.21
  5. Step 5: Solve for x
    x = 96,616,253,420.21/339,374.38
  6. Step 6: Final answer
    x = 284,689.30

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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.