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Finding the Fourth Proportional to 321,679.40, 482,522.56 and 97,041.78

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Solution

The fourth proportional to 321,679.40, 482,522.56 and 97,041.78 is: 145,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,679.40 : 482,522.56 = 97,041.78 : x
  2. Step 2: Convert to fraction form
    321,679.40/482,522.56 = 97,041.78/x
  3. Step 3: Cross multiply
    321,679.40x = 482,522.56 × 97,041.78
  4. Step 4: Simplify right side
    321,679.40x = 46,824,848,112.56
  5. Step 5: Solve for x
    x = 46,824,848,112.56/321,679.40
  6. Step 6: Final answer
    x = 145,563.71

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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.