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Finding the Fourth Proportional to 321,721.69, 482,570.42 and 97,076.15

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Solution

The fourth proportional to 321,721.69, 482,570.42 and 97,076.15 is: 145,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,721.69 : 482,570.42 = 97,076.15 : x
  2. Step 2: Convert to fraction form
    321,721.69/482,570.42 = 97,076.15/x
  3. Step 3: Cross multiply
    321,721.69x = 482,570.42 × 97,076.15
  4. Step 4: Simplify right side
    321,721.69x = 46,846,079,198.53
  5. Step 5: Solve for x
    x = 46,846,079,198.53/321,721.69
  6. Step 6: Final answer
    x = 145,610.57

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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.