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Finding the Fourth Proportional to 399,156.71, 598,999.50 and 219,367.69

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Solution

The fourth proportional to 399,156.71, 598,999.50 and 219,367.69 is: 329,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,156.71 : 598,999.50 = 219,367.69 : x
  2. Step 2: Convert to fraction form
    399,156.71/598,999.50 = 219,367.69/x
  3. Step 3: Cross multiply
    399,156.71x = 598,999.50 × 219,367.69
  4. Step 4: Simplify right side
    399,156.71x = 131,401,135,128.66
  5. Step 5: Solve for x
    x = 131,401,135,128.66/399,156.71
  6. Step 6: Final answer
    x = 329,196.86

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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.