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Finding the Fourth Proportional to 321,846.44, 482,761.50 and 153,485.78

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Solution

The fourth proportional to 321,846.44, 482,761.50 and 153,485.78 is: 230,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,846.44 : 482,761.50 = 153,485.78 : x
  2. Step 2: Convert to fraction form
    321,846.44/482,761.50 = 153,485.78/x
  3. Step 3: Cross multiply
    321,846.44x = 482,761.50 × 153,485.78
  4. Step 4: Simplify right side
    321,846.44x = 74,097,025,381.47
  5. Step 5: Solve for x
    x = 74,097,025,381.47/321,846.44
  6. Step 6: Final answer
    x = 230,224.78

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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.