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Finding the Fourth Proportional to 386,141.70, 579,212.55 and 327,821.70

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Solution

The fourth proportional to 386,141.70, 579,212.55 and 327,821.70 is: 491,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,141.70 : 579,212.55 = 327,821.70 : x
  2. Step 2: Convert to fraction form
    386,141.70/579,212.55 = 327,821.70/x
  3. Step 3: Cross multiply
    386,141.70x = 579,212.55 × 327,821.70
  4. Step 4: Simplify right side
    386,141.70x = 189,878,442,802.34
  5. Step 5: Solve for x
    x = 189,878,442,802.34/386,141.70
  6. Step 6: Final answer
    x = 491,732.55

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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.