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Finding the Fourth Proportional to 290,438.40, 435,722.40 and 227,452.80

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Solution

The fourth proportional to 290,438.40, 435,722.40 and 227,452.80 is: 341,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.40 : 435,722.40 = 227,452.80 : x
  2. Step 2: Convert to fraction form
    290,438.40/435,722.40 = 227,452.80/x
  3. Step 3: Cross multiply
    290,438.40x = 435,722.40 × 227,452.80
  4. Step 4: Simplify right side
    290,438.40x = 99,106,279,902.72
  5. Step 5: Solve for x
    x = 99,106,279,902.72/290,438.40
  6. Step 6: Final answer
    x = 341,229.95

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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.