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Finding the Fourth Proportional to 296,640.55, 409,250.96 and 219,301.90

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Solution

The fourth proportional to 296,640.55, 409,250.96 and 219,301.90 is: 302,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,640.55 : 409,250.96 = 219,301.90 : x
  2. Step 2: Convert to fraction form
    296,640.55/409,250.96 = 219,301.90/x
  3. Step 3: Cross multiply
    296,640.55x = 409,250.96 × 219,301.90
  4. Step 4: Simplify right side
    296,640.55x = 89,749,513,653.08
  5. Step 5: Solve for x
    x = 89,749,513,653.08/296,640.55
  6. Step 6: Final answer
    x = 302,553.09

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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.