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Finding the Fourth Proportional to 290,995.70, 436,821.60 and 224,729.60

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Solution

The fourth proportional to 290,995.70, 436,821.60 and 224,729.60 is: 337,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,995.70 : 436,821.60 = 224,729.60 : x
  2. Step 2: Convert to fraction form
    290,995.70/436,821.60 = 224,729.60/x
  3. Step 3: Cross multiply
    290,995.70x = 436,821.60 × 224,729.60
  4. Step 4: Simplify right side
    290,995.70x = 98,166,743,439.36
  5. Step 5: Solve for x
    x = 98,166,743,439.36/290,995.70
  6. Step 6: Final answer
    x = 337,347.75

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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.