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Finding the Fourth Proportional to 2,092,974, 3,139,929 and 763,278

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Solution

The fourth proportional to 2,092,974, 3,139,929 and 763,278 is: 1,145,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,974 : 3,139,929 = 763,278 : x
  2. Step 2: Convert to fraction form
    2,092,974/3,139,929 = 763,278/x
  3. Step 3: Cross multiply
    2,092,974x = 3,139,929 × 763,278
  4. Step 4: Simplify right side
    2,092,974x = 2,396,638,727,262
  5. Step 5: Solve for x
    x = 2,396,638,727,262/2,092,974
  6. Step 6: Final answer
    x = 1,145,087.67

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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.