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Finding the Fourth Proportional to 219,310.70, 329,097.29 and 201,464.78

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Solution

The fourth proportional to 219,310.70, 329,097.29 and 201,464.78 is: 302,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310.70 : 329,097.29 = 201,464.78 : x
  2. Step 2: Convert to fraction form
    219,310.70/329,097.29 = 201,464.78/x
  3. Step 3: Cross multiply
    219,310.70x = 329,097.29 × 201,464.78
  4. Step 4: Simplify right side
    219,310.70x = 66,301,513,128.45
  5. Step 5: Solve for x
    x = 66,301,513,128.45/219,310.70
  6. Step 6: Final answer
    x = 302,317.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.