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Finding the Fourth Proportional to 290,729.80, 436,109.10 and 150,761.80

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Solution

The fourth proportional to 290,729.80, 436,109.10 and 150,761.80 is: 226,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,729.80 : 436,109.10 = 150,761.80 : x
  2. Step 2: Convert to fraction form
    290,729.80/436,109.10 = 150,761.80/x
  3. Step 3: Cross multiply
    290,729.80x = 436,109.10 × 150,761.80
  4. Step 4: Simplify right side
    290,729.80x = 65,748,592,912.38
  5. Step 5: Solve for x
    x = 65,748,592,912.38/290,729.80
  6. Step 6: Final answer
    x = 226,150.17

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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.