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Finding the Fourth Proportional to 655,670.46, 983,457.68 and 206,519.78

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Solution

The fourth proportional to 655,670.46, 983,457.68 and 206,519.78 is: 309,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,670.46 : 983,457.68 = 206,519.78 : x
  2. Step 2: Convert to fraction form
    655,670.46/983,457.68 = 206,519.78/x
  3. Step 3: Cross multiply
    655,670.46x = 983,457.68 × 206,519.78
  4. Step 4: Simplify right side
    655,670.46x = 203,103,460,187.84
  5. Step 5: Solve for x
    x = 203,103,460,187.84/655,670.46
  6. Step 6: Final answer
    x = 309,764.54

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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.