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Finding the Fourth Proportional to 3,145,846, 4,718,786.28 and 781,942

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Solution

The fourth proportional to 3,145,846, 4,718,786.28 and 781,942 is: 1,172,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,846 : 4,718,786.28 = 781,942 : x
  2. Step 2: Convert to fraction form
    3,145,846/4,718,786.28 = 781,942/x
  3. Step 3: Cross multiply
    3,145,846x = 4,718,786.28 × 781,942
  4. Step 4: Simplify right side
    3,145,846x = 3,689,817,181,355.76
  5. Step 5: Solve for x
    x = 3,689,817,181,355.76/3,145,846
  6. Step 6: Final answer
    x = 1,172,917.30

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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.