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Finding the Fourth Proportional to 379,440.40, 523,627.94 and 209,674.52

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Solution

The fourth proportional to 379,440.40, 523,627.94 and 209,674.52 is: 289,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,440.40 : 523,627.94 = 209,674.52 : x
  2. Step 2: Convert to fraction form
    379,440.40/523,627.94 = 209,674.52/x
  3. Step 3: Cross multiply
    379,440.40x = 523,627.94 × 209,674.52
  4. Step 4: Simplify right side
    379,440.40x = 109,791,439,793.15
  5. Step 5: Solve for x
    x = 109,791,439,793.15/379,440.40
  6. Step 6: Final answer
    x = 289,350.95

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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.