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Finding the Fourth Proportional to 290,961.56, 436,428.30 and 101,414.28

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Solution

The fourth proportional to 290,961.56, 436,428.30 and 101,414.28 is: 152,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,961.56 : 436,428.30 = 101,414.28 : x
  2. Step 2: Convert to fraction form
    290,961.56/436,428.30 = 101,414.28/x
  3. Step 3: Cross multiply
    290,961.56x = 436,428.30 × 101,414.28
  4. Step 4: Simplify right side
    290,961.56x = 44,260,061,816.12
  5. Step 5: Solve for x
    x = 44,260,061,816.12/290,961.56
  6. Step 6: Final answer
    x = 152,116.53

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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.