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Finding the Fourth Proportional to 653,638.06, 980,457.86 and 204,361.29

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Solution

The fourth proportional to 653,638.06, 980,457.86 and 204,361.29 is: 306,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,638.06 : 980,457.86 = 204,361.29 : x
  2. Step 2: Convert to fraction form
    653,638.06/980,457.86 = 204,361.29/x
  3. Step 3: Cross multiply
    653,638.06x = 980,457.86 × 204,361.29
  4. Step 4: Simplify right side
    653,638.06x = 200,367,633,060.24
  5. Step 5: Solve for x
    x = 200,367,633,060.24/653,638.06
  6. Step 6: Final answer
    x = 306,542.18

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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.