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Finding the Fourth Proportional to 339,434.73, 509,362.34 and 197,346.87

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Solution

The fourth proportional to 339,434.73, 509,362.34 and 197,346.87 is: 296,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,434.73 : 509,362.34 = 197,346.87 : x
  2. Step 2: Convert to fraction form
    339,434.73/509,362.34 = 197,346.87/x
  3. Step 3: Cross multiply
    339,434.73x = 509,362.34 × 197,346.87
  4. Step 4: Simplify right side
    339,434.73x = 100,521,063,494.88
  5. Step 5: Solve for x
    x = 100,521,063,494.88/339,434.73
  6. Step 6: Final answer
    x = 296,142.54

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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.