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Finding the Fourth Proportional to 399,420, 551,204.02 and 218,137.28

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Solution

The fourth proportional to 399,420, 551,204.02 and 218,137.28 is: 301,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,420 : 551,204.02 = 218,137.28 : x
  2. Step 2: Convert to fraction form
    399,420/551,204.02 = 218,137.28/x
  3. Step 3: Cross multiply
    399,420x = 551,204.02 × 218,137.28
  4. Step 4: Simplify right side
    399,420x = 120,238,145,647.87
  5. Step 5: Solve for x
    x = 120,238,145,647.87/399,420
  6. Step 6: Final answer
    x = 301,031.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.