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Finding the Fourth Proportional to 297,899.65, 411,098.62 and 221,759.24

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Solution

The fourth proportional to 297,899.65, 411,098.62 and 221,759.24 is: 306,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,899.65 : 411,098.62 = 221,759.24 : x
  2. Step 2: Convert to fraction form
    297,899.65/411,098.62 = 221,759.24/x
  3. Step 3: Cross multiply
    297,899.65x = 411,098.62 × 221,759.24
  4. Step 4: Simplify right side
    297,899.65x = 91,164,917,536.25
  5. Step 5: Solve for x
    x = 91,164,917,536.25/297,899.65
  6. Step 6: Final answer
    x = 306,025.59

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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.