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Finding the Fourth Proportional to 2,806,978.74, 4,208,856.40 and 1,099,122.43

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Solution

The fourth proportional to 2,806,978.74, 4,208,856.40 and 1,099,122.43 is: 1,648,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806,978.74 : 4,208,856.40 = 1,099,122.43 : x
  2. Step 2: Convert to fraction form
    2,806,978.74/4,208,856.40 = 1,099,122.43/x
  3. Step 3: Cross multiply
    2,806,978.74x = 4,208,856.40 × 1,099,122.43
  4. Step 4: Simplify right side
    2,806,978.74x = 4,626,048,473,889.05
  5. Step 5: Solve for x
    x = 4,626,048,473,889.05/2,806,978.74
  6. Step 6: Final answer
    x = 1,648,052.55

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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.