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Finding the Fourth Proportional to 481,512.96, 664,309.44 and 311,840.64

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Solution

The fourth proportional to 481,512.96, 664,309.44 and 311,840.64 is: 430,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,512.96 : 664,309.44 = 311,840.64 : x
  2. Step 2: Convert to fraction form
    481,512.96/664,309.44 = 311,840.64/x
  3. Step 3: Cross multiply
    481,512.96x = 664,309.44 × 311,840.64
  4. Step 4: Simplify right side
    481,512.96x = 207,158,680,927.64
  5. Step 5: Solve for x
    x = 207,158,680,927.64/481,512.96
  6. Step 6: Final answer
    x = 430,224.52

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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.