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Finding the Fourth Proportional to 279,214.66, 419,063.82 and 146,188

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Solution

The fourth proportional to 279,214.66, 419,063.82 and 146,188 is: 219,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,214.66 : 419,063.82 = 146,188 : x
  2. Step 2: Convert to fraction form
    279,214.66/419,063.82 = 146,188/x
  3. Step 3: Cross multiply
    279,214.66x = 419,063.82 × 146,188
  4. Step 4: Simplify right side
    279,214.66x = 61,262,101,718.16
  5. Step 5: Solve for x
    x = 61,262,101,718.16/279,214.66
  6. Step 6: Final answer
    x = 219,408.61

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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.