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Finding the Fourth Proportional to 385,564.20, 579,728.70 and 324,738.60

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Solution

The fourth proportional to 385,564.20, 579,728.70 and 324,738.60 is: 488,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,564.20 : 579,728.70 = 324,738.60 : x
  2. Step 2: Convert to fraction form
    385,564.20/579,728.70 = 324,738.60/x
  3. Step 3: Cross multiply
    385,564.20x = 579,728.70 × 324,738.60
  4. Step 4: Simplify right side
    385,564.20x = 188,260,286,417.82
  5. Step 5: Solve for x
    x = 188,260,286,417.82/385,564.20
  6. Step 6: Final answer
    x = 488,272.22

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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.