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Finding the Fourth Proportional to 402,493.44, 555,438.08 and 218,730.56

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Solution

The fourth proportional to 402,493.44, 555,438.08 and 218,730.56 is: 301,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,493.44 : 555,438.08 = 218,730.56 : x
  2. Step 2: Convert to fraction form
    402,493.44/555,438.08 = 218,730.56/x
  3. Step 3: Cross multiply
    402,493.44x = 555,438.08 × 218,730.56
  4. Step 4: Simplify right side
    402,493.44x = 121,491,282,283.73
  5. Step 5: Solve for x
    x = 121,491,282,283.73/402,493.44
  6. Step 6: Final answer
    x = 301,846.61

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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.