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Finding the Fourth Proportional to 306,504.81, 458,871.48 and 194,311.71

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Solution

The fourth proportional to 306,504.81, 458,871.48 and 194,311.71 is: 290,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.81 : 458,871.48 = 194,311.71 : x
  2. Step 2: Convert to fraction form
    306,504.81/458,871.48 = 194,311.71/x
  3. Step 3: Cross multiply
    306,504.81x = 458,871.48 × 194,311.71
  4. Step 4: Simplify right side
    306,504.81x = 89,164,101,949.03
  5. Step 5: Solve for x
    x = 89,164,101,949.03/306,504.81
  6. Step 6: Final answer
    x = 290,906.04

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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.