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Finding the Fourth Proportional to 774,496,467.72, 1,068,777,978.46 and 422,065,266.84

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Solution

The fourth proportional to 774,496,467.72, 1,068,777,978.46 and 422,065,266.84 is: 582,435,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,496,467.72 : 1,068,777,978.46 = 422,065,266.84 : x
  2. Step 2: Convert to fraction form
    774,496,467.72/1,068,777,978.46 = 422,065,266.84/x
  3. Step 3: Cross multiply
    774,496,467.72x = 1,068,777,978.46 × 422,065,266.84
  4. Step 4: Simplify right side
    774,496,467.72x = 451,094,062,670,380,480
  5. Step 5: Solve for x
    x = 451,094,062,670,380,480/774,496,467.72
  6. Step 6: Final answer
    x = 582,435,274.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.