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Finding the Fourth Proportional to 379,204.48, 523,257.42 and 209,428.48

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Solution

The fourth proportional to 379,204.48, 523,257.42 and 209,428.48 is: 288,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,204.48 : 523,257.42 = 209,428.48 : x
  2. Step 2: Convert to fraction form
    379,204.48/523,257.42 = 209,428.48/x
  3. Step 3: Cross multiply
    379,204.48x = 523,257.42 × 209,428.48
  4. Step 4: Simplify right side
    379,204.48x = 109,585,006,119.32
  5. Step 5: Solve for x
    x = 109,585,006,119.32/379,204.48
  6. Step 6: Final answer
    x = 288,986.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.