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Finding the Fourth Proportional to 351,849.32, 527,774.34 and 85,609.82

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Solution

The fourth proportional to 351,849.32, 527,774.34 and 85,609.82 is: 128,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,849.32 : 527,774.34 = 85,609.82 : x
  2. Step 2: Convert to fraction form
    351,849.32/527,774.34 = 85,609.82/x
  3. Step 3: Cross multiply
    351,849.32x = 527,774.34 × 85,609.82
  4. Step 4: Simplify right side
    351,849.32x = 45,182,663,609.15
  5. Step 5: Solve for x
    x = 45,182,663,609.15/351,849.32
  6. Step 6: Final answer
    x = 128,414.81

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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.