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Finding the Fourth Proportional to 321,128.68, 481,717.92 and 96,471.53

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Solution

The fourth proportional to 321,128.68, 481,717.92 and 96,471.53 is: 144,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,128.68 : 481,717.92 = 96,471.53 : x
  2. Step 2: Convert to fraction form
    321,128.68/481,717.92 = 96,471.53/x
  3. Step 3: Cross multiply
    321,128.68x = 481,717.92 × 96,471.53
  4. Step 4: Simplify right side
    321,128.68x = 46,472,064,770.82
  5. Step 5: Solve for x
    x = 46,472,064,770.82/321,128.68
  6. Step 6: Final answer
    x = 144,714.78

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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.