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Finding the Fourth Proportional to 294,385, 406,251.32 and 160,249

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Solution

The fourth proportional to 294,385, 406,251.32 and 160,249 is: 221,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,385 : 406,251.32 = 160,249 : x
  2. Step 2: Convert to fraction form
    294,385/406,251.32 = 160,249/x
  3. Step 3: Cross multiply
    294,385x = 406,251.32 × 160,249
  4. Step 4: Simplify right side
    294,385x = 65,101,367,778.68
  5. Step 5: Solve for x
    x = 65,101,367,778.68/294,385
  6. Step 6: Final answer
    x = 221,143.63

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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.