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Finding the Fourth Proportional to 379,125.76, 523,191.54 and 209,359.84

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Solution

The fourth proportional to 379,125.76, 523,191.54 and 209,359.84 is: 288,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,125.76 : 523,191.54 = 209,359.84 : x
  2. Step 2: Convert to fraction form
    379,125.76/523,191.54 = 209,359.84/x
  3. Step 3: Cross multiply
    379,125.76x = 523,191.54 × 209,359.84
  4. Step 4: Simplify right side
    379,125.76x = 109,535,297,103.75
  5. Step 5: Solve for x
    x = 109,535,297,103.75/379,125.76
  6. Step 6: Final answer
    x = 288,915.47

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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.