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Finding the Fourth Proportional to 358,221.75, 494,416.65 and 205,362.55

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Solution

The fourth proportional to 358,221.75, 494,416.65 and 205,362.55 is: 283,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,221.75 : 494,416.65 = 205,362.55 : x
  2. Step 2: Convert to fraction form
    358,221.75/494,416.65 = 205,362.55/x
  3. Step 3: Cross multiply
    358,221.75x = 494,416.65 × 205,362.55
  4. Step 4: Simplify right side
    358,221.75x = 101,534,664,006.46
  5. Step 5: Solve for x
    x = 101,534,664,006.46/358,221.75
  6. Step 6: Final answer
    x = 283,440.81

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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.