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Finding the Fourth Proportional to 297,980.90, 410,941.21 and 221,691.05

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Solution

The fourth proportional to 297,980.90, 410,941.21 and 221,691.05 is: 305,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,980.90 : 410,941.21 = 221,691.05 : x
  2. Step 2: Convert to fraction form
    297,980.90/410,941.21 = 221,691.05/x
  3. Step 3: Cross multiply
    297,980.90x = 410,941.21 × 221,691.05
  4. Step 4: Simplify right side
    297,980.90x = 91,101,988,333.17
  5. Step 5: Solve for x
    x = 91,101,988,333.17/297,980.90
  6. Step 6: Final answer
    x = 305,730.97

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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.