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Finding the Fourth Proportional to 297,489.76, 410,188.98 and 221,907.04

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Solution

The fourth proportional to 297,489.76, 410,188.98 and 221,907.04 is: 305,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,489.76 : 410,188.98 = 221,907.04 : x
  2. Step 2: Convert to fraction form
    297,489.76/410,188.98 = 221,907.04/x
  3. Step 3: Cross multiply
    297,489.76x = 410,188.98 × 221,907.04
  4. Step 4: Simplify right side
    297,489.76x = 91,023,822,392.42
  5. Step 5: Solve for x
    x = 91,023,822,392.42/297,489.76
  6. Step 6: Final answer
    x = 305,972.96

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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.