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Finding the Fourth Proportional to 290,426.40, 435,704.40 and 227,440.80

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Solution

The fourth proportional to 290,426.40, 435,704.40 and 227,440.80 is: 341,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,426.40 : 435,704.40 = 227,440.80 : x
  2. Step 2: Convert to fraction form
    290,426.40/435,704.40 = 227,440.80/x
  3. Step 3: Cross multiply
    290,426.40x = 435,704.40 × 227,440.80
  4. Step 4: Simplify right side
    290,426.40x = 99,096,957,299.52
  5. Step 5: Solve for x
    x = 99,096,957,299.52/290,426.40
  6. Step 6: Final answer
    x = 341,211.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.