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Finding the Fourth Proportional to 299,208.73, 412,944.34 and 218,595.91

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Solution

The fourth proportional to 299,208.73, 412,944.34 and 218,595.91 is: 301,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.73 : 412,944.34 = 218,595.91 : x
  2. Step 2: Convert to fraction form
    299,208.73/412,944.34 = 218,595.91/x
  3. Step 3: Cross multiply
    299,208.73x = 412,944.34 × 218,595.91
  4. Step 4: Simplify right side
    299,208.73x = 90,267,941,716.93
  5. Step 5: Solve for x
    x = 90,267,941,716.93/299,208.73
  6. Step 6: Final answer
    x = 301,688.87

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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.