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Finding the Fourth Proportional to 328,654.86, 493,036.76 and 115,367.43

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Solution

The fourth proportional to 328,654.86, 493,036.76 and 115,367.43 is: 173,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,654.86 : 493,036.76 = 115,367.43 : x
  2. Step 2: Convert to fraction form
    328,654.86/493,036.76 = 115,367.43/x
  3. Step 3: Cross multiply
    328,654.86x = 493,036.76 × 115,367.43
  4. Step 4: Simplify right side
    328,654.86x = 56,880,383,896.73
  5. Step 5: Solve for x
    x = 56,880,383,896.73/328,654.86
  6. Step 6: Final answer
    x = 173,070.27

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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.