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Finding the Fourth Proportional to 297,870.20, 411,064.97 and 161,904.05

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Solution

The fourth proportional to 297,870.20, 411,064.97 and 161,904.05 is: 223,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,870.20 : 411,064.97 = 161,904.05 : x
  2. Step 2: Convert to fraction form
    297,870.20/411,064.97 = 161,904.05/x
  3. Step 3: Cross multiply
    297,870.20x = 411,064.97 × 161,904.05
  4. Step 4: Simplify right side
    297,870.20x = 66,553,080,591.28
  5. Step 5: Solve for x
    x = 66,553,080,591.28/297,870.20
  6. Step 6: Final answer
    x = 223,429.81

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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.