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Finding the Fourth Proportional to 297,976.20, 411,207.23 and 163,840.20

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Solution

The fourth proportional to 297,976.20, 411,207.23 and 163,840.20 is: 226,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,976.20 : 411,207.23 = 163,840.20 : x
  2. Step 2: Convert to fraction form
    297,976.20/411,207.23 = 163,840.20/x
  3. Step 3: Cross multiply
    297,976.20x = 411,207.23 × 163,840.20
  4. Step 4: Simplify right side
    297,976.20x = 67,372,274,804.65
  5. Step 5: Solve for x
    x = 67,372,274,804.65/297,976.20
  6. Step 6: Final answer
    x = 226,099.52

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1.5x scale

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.