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Finding the Fourth Proportional to 290,396.30, 435,593.54 and 77,185.67

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Solution

The fourth proportional to 290,396.30, 435,593.54 and 77,185.67 is: 115,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,396.30 : 435,593.54 = 77,185.67 : x
  2. Step 2: Convert to fraction form
    290,396.30/435,593.54 = 77,185.67/x
  3. Step 3: Cross multiply
    290,396.30x = 435,593.54 × 77,185.67
  4. Step 4: Simplify right side
    290,396.30x = 33,621,579,232.57
  5. Step 5: Solve for x
    x = 33,621,579,232.57/290,396.30
  6. Step 6: Final answer
    x = 115,778.26

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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.