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Finding the Fourth Proportional to 402,197.82, 555,037.56 and 220,914

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Solution

The fourth proportional to 402,197.82, 555,037.56 and 220,914 is: 304,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,197.82 : 555,037.56 = 220,914 : x
  2. Step 2: Convert to fraction form
    402,197.82/555,037.56 = 220,914/x
  3. Step 3: Cross multiply
    402,197.82x = 555,037.56 × 220,914
  4. Step 4: Simplify right side
    402,197.82x = 122,615,567,529.84
  5. Step 5: Solve for x
    x = 122,615,567,529.84/402,197.82
  6. Step 6: Final answer
    x = 304,863.83

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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.