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Finding the Fourth Proportional to 421,659,467.98, 581,858,295.15 and 256,628,797.90

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Solution

The fourth proportional to 421,659,467.98, 581,858,295.15 and 256,628,797.90 is: 354,128,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,659,467.98 : 581,858,295.15 = 256,628,797.90 : x
  2. Step 2: Convert to fraction form
    421,659,467.98/581,858,295.15 = 256,628,797.90/x
  3. Step 3: Cross multiply
    421,659,467.98x = 581,858,295.15 × 256,628,797.90
  4. Step 4: Simplify right side
    421,659,467.98x = 149,321,594,832,487,904
  5. Step 5: Solve for x
    x = 149,321,594,832,487,904/421,659,467.98
  6. Step 6: Final answer
    x = 354,128,404.96

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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.