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Finding the Fourth Proportional to 340,650.81, 511,194.92 and 228,457.71

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Solution

The fourth proportional to 340,650.81, 511,194.92 and 228,457.71 is: 342,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,650.81 : 511,194.92 = 228,457.71 : x
  2. Step 2: Convert to fraction form
    340,650.81/511,194.92 = 228,457.71/x
  3. Step 3: Cross multiply
    340,650.81x = 511,194.92 × 228,457.71
  4. Step 4: Simplify right side
    340,650.81x = 116,786,419,644.55
  5. Step 5: Solve for x
    x = 116,786,419,644.55/340,650.81
  6. Step 6: Final answer
    x = 342,833.24

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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.