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Finding the Fourth Proportional to 297,900, 411,102 and 163,764

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Solution

The fourth proportional to 297,900, 411,102 and 163,764 is: 225,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,900 : 411,102 = 163,764 : x
  2. Step 2: Convert to fraction form
    297,900/411,102 = 163,764/x
  3. Step 3: Cross multiply
    297,900x = 411,102 × 163,764
  4. Step 4: Simplify right side
    297,900x = 67,323,707,928
  5. Step 5: Solve for x
    x = 67,323,707,928/297,900
  6. Step 6: Final answer
    x = 225,994.32

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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.