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Finding the Fourth Proportional to 399,533.70, 551,335.41 and 218,243

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Solution

The fourth proportional to 399,533.70, 551,335.41 and 218,243 is: 301,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,533.70 : 551,335.41 = 218,243 : x
  2. Step 2: Convert to fraction form
    399,533.70/551,335.41 = 218,243/x
  3. Step 3: Cross multiply
    399,533.70x = 551,335.41 × 218,243
  4. Step 4: Simplify right side
    399,533.70x = 120,325,093,884.63
  5. Step 5: Solve for x
    x = 120,325,093,884.63/399,533.70
  6. Step 6: Final answer
    x = 301,163.82

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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.