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Finding the Fourth Proportional to 328,658.84, 493,042.73 and 115,371.42

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Solution

The fourth proportional to 328,658.84, 493,042.73 and 115,371.42 is: 173,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,658.84 : 493,042.73 = 115,371.42 : x
  2. Step 2: Convert to fraction form
    328,658.84/493,042.73 = 115,371.42/x
  3. Step 3: Cross multiply
    328,658.84x = 493,042.73 × 115,371.42
  4. Step 4: Simplify right side
    328,658.84x = 56,883,039,880.78
  5. Step 5: Solve for x
    x = 56,883,039,880.78/328,658.84
  6. Step 6: Final answer
    x = 173,076.25

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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.