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Finding the Fourth Proportional to 294,855.75, 406,901.21 and 160,719.75

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Solution

The fourth proportional to 294,855.75, 406,901.21 and 160,719.75 is: 221,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,855.75 : 406,901.21 = 160,719.75 : x
  2. Step 2: Convert to fraction form
    294,855.75/406,901.21 = 160,719.75/x
  3. Step 3: Cross multiply
    294,855.75x = 406,901.21 × 160,719.75
  4. Step 4: Simplify right side
    294,855.75x = 65,397,059,942.30
  5. Step 5: Solve for x
    x = 65,397,059,942.30/294,855.75
  6. Step 6: Final answer
    x = 221,793.40

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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.