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Finding the Fourth Proportional to 481,728, 722,765.76 and 256,851.84

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Solution

The fourth proportional to 481,728, 722,765.76 and 256,851.84 is: 385,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,728 : 722,765.76 = 256,851.84 : x
  2. Step 2: Convert to fraction form
    481,728/722,765.76 = 256,851.84/x
  3. Step 3: Cross multiply
    481,728x = 722,765.76 × 256,851.84
  4. Step 4: Simplify right side
    481,728x = 185,643,715,345.00
  5. Step 5: Solve for x
    x = 185,643,715,345.00/481,728
  6. Step 6: Final answer
    x = 385,370.41

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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.