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Finding the Fourth Proportional to 379,615.62, 523,847.07 and 209,839.62

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Solution

The fourth proportional to 379,615.62, 523,847.07 and 209,839.62 is: 289,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,615.62 : 523,847.07 = 209,839.62 : x
  2. Step 2: Convert to fraction form
    379,615.62/523,847.07 = 209,839.62/x
  3. Step 3: Cross multiply
    379,615.62x = 523,847.07 × 209,839.62
  4. Step 4: Simplify right side
    379,615.62x = 109,923,870,106.91
  5. Step 5: Solve for x
    x = 109,923,870,106.91/379,615.62
  6. Step 6: Final answer
    x = 289,566.25

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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.