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Finding the Fourth Proportional to 297,840, 411,019.20 and 163,704

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Solution

The fourth proportional to 297,840, 411,019.20 and 163,704 is: 225,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,840 : 411,019.20 = 163,704 : x
  2. Step 2: Convert to fraction form
    297,840/411,019.20 = 163,704/x
  3. Step 3: Cross multiply
    297,840x = 411,019.20 × 163,704
  4. Step 4: Simplify right side
    297,840x = 67,285,487,116.80
  5. Step 5: Solve for x
    x = 67,285,487,116.80/297,840
  6. Step 6: Final answer
    x = 225,911.52

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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.