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Finding the Fourth Proportional to 1,610,696, 2,416,044 and 428,744

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Solution

The fourth proportional to 1,610,696, 2,416,044 and 428,744 is: 643,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,696 : 2,416,044 = 428,744 : x
  2. Step 2: Convert to fraction form
    1,610,696/2,416,044 = 428,744/x
  3. Step 3: Cross multiply
    1,610,696x = 2,416,044 × 428,744
  4. Step 4: Simplify right side
    1,610,696x = 1,035,864,368,736
  5. Step 5: Solve for x
    x = 1,035,864,368,736/1,610,696
  6. Step 6: Final answer
    x = 643,116

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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.