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Finding the Fourth Proportional to 1,610,694, 2,416,041 and 428,742

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Solution

The fourth proportional to 1,610,694, 2,416,041 and 428,742 is: 643,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,694 : 2,416,041 = 428,742 : x
  2. Step 2: Convert to fraction form
    1,610,694/2,416,041 = 428,742/x
  3. Step 3: Cross multiply
    1,610,694x = 2,416,041 × 428,742
  4. Step 4: Simplify right side
    1,610,694x = 1,035,858,250,422
  5. Step 5: Solve for x
    x = 1,035,858,250,422/1,610,694
  6. Step 6: Final answer
    x = 643,113

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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.