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Finding the Fourth Proportional to 379,510.67, 523,704.26 and 209,734.67

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Solution

The fourth proportional to 379,510.67, 523,704.26 and 209,734.67 is: 289,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,510.67 : 523,704.26 = 209,734.67 : x
  2. Step 2: Convert to fraction form
    379,510.67/523,704.26 = 209,734.67/x
  3. Step 3: Cross multiply
    379,510.67x = 523,704.26 × 209,734.67
  4. Step 4: Simplify right side
    379,510.67x = 109,838,936,481.50
  5. Step 5: Solve for x
    x = 109,838,936,481.50/379,510.67
  6. Step 6: Final answer
    x = 289,422.53

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1.5x scale

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.