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Finding the Fourth Proportional to 340,648.56, 511,191.54 and 228,455.46

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Solution

The fourth proportional to 340,648.56, 511,191.54 and 228,455.46 is: 342,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,648.56 : 511,191.54 = 228,455.46 : x
  2. Step 2: Convert to fraction form
    340,648.56/511,191.54 = 228,455.46/x
  3. Step 3: Cross multiply
    340,648.56x = 511,191.54 × 228,455.46
  4. Step 4: Simplify right side
    340,648.56x = 116,784,498,418.81
  5. Step 5: Solve for x
    x = 116,784,498,418.81/340,648.56
  6. Step 6: Final answer
    x = 342,829.86

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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.