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Finding the Fourth Proportional to 297,028.40, 409,802.10 and 189,633.20

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Solution

The fourth proportional to 297,028.40, 409,802.10 and 189,633.20 is: 261,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,028.40 : 409,802.10 = 189,633.20 : x
  2. Step 2: Convert to fraction form
    297,028.40/409,802.10 = 189,633.20/x
  3. Step 3: Cross multiply
    297,028.40x = 409,802.10 × 189,633.20
  4. Step 4: Simplify right side
    297,028.40x = 77,712,083,589.72
  5. Step 5: Solve for x
    x = 77,712,083,589.72/297,028.40
  6. Step 6: Final answer
    x = 261,631.83

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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.