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Finding the Fourth Proportional to 290,425.02, 435,375.09 and 201,720.30

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Solution

The fourth proportional to 290,425.02, 435,375.09 and 201,720.30 is: 302,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,425.02 : 435,375.09 = 201,720.30 : x
  2. Step 2: Convert to fraction form
    290,425.02/435,375.09 = 201,720.30/x
  3. Step 3: Cross multiply
    290,425.02x = 435,375.09 × 201,720.30
  4. Step 4: Simplify right side
    290,425.02x = 87,823,993,767.33
  5. Step 5: Solve for x
    x = 87,823,993,767.33/290,425.02
  6. Step 6: Final answer
    x = 302,398.17

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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.