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Finding the Fourth Proportional to 654,718.70, 982,119.55 and 205,457.30

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Solution

The fourth proportional to 654,718.70, 982,119.55 and 205,457.30 is: 308,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,718.70 : 982,119.55 = 205,457.30 : x
  2. Step 2: Convert to fraction form
    654,718.70/982,119.55 = 205,457.30/x
  3. Step 3: Cross multiply
    654,718.70x = 982,119.55 × 205,457.30
  4. Step 4: Simplify right side
    654,718.70x = 201,783,625,595.97
  5. Step 5: Solve for x
    x = 201,783,625,595.97/654,718.70
  6. Step 6: Final answer
    x = 308,198.97

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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.