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Finding the Fourth Proportional to 297,780, 410,936.40 and 163,644

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Solution

The fourth proportional to 297,780, 410,936.40 and 163,644 is: 225,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,780 : 410,936.40 = 163,644 : x
  2. Step 2: Convert to fraction form
    297,780/410,936.40 = 163,644/x
  3. Step 3: Cross multiply
    297,780x = 410,936.40 × 163,644
  4. Step 4: Simplify right side
    297,780x = 67,247,276,241.60
  5. Step 5: Solve for x
    x = 67,247,276,241.60/297,780
  6. Step 6: Final answer
    x = 225,828.72

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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.