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Finding the Fourth Proportional to 490,397.43, 735,591.43 and 290,573.97

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Solution

The fourth proportional to 490,397.43, 735,591.43 and 290,573.97 is: 435,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,397.43 : 735,591.43 = 290,573.97 : x
  2. Step 2: Convert to fraction form
    490,397.43/735,591.43 = 290,573.97/x
  3. Step 3: Cross multiply
    490,397.43x = 735,591.43 × 290,573.97
  4. Step 4: Simplify right side
    490,397.43x = 213,743,720,660.21
  5. Step 5: Solve for x
    x = 213,743,720,660.21/490,397.43
  6. Step 6: Final answer
    x = 435,858.16

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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.