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Finding the Fourth Proportional to 264,216.40, 396,324.60 and 123,989.20

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Solution

The fourth proportional to 264,216.40, 396,324.60 and 123,989.20 is: 185,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,216.40 : 396,324.60 = 123,989.20 : x
  2. Step 2: Convert to fraction form
    264,216.40/396,324.60 = 123,989.20/x
  3. Step 3: Cross multiply
    264,216.40x = 396,324.60 × 123,989.20
  4. Step 4: Simplify right side
    264,216.40x = 49,139,970,094.32
  5. Step 5: Solve for x
    x = 49,139,970,094.32/264,216.40
  6. Step 6: Final answer
    x = 185,983.80

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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.