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Finding the Fourth Proportional to 264,558.40, 396,837.60 and 140,142.40

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Solution

The fourth proportional to 264,558.40, 396,837.60 and 140,142.40 is: 210,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,558.40 : 396,837.60 = 140,142.40 : x
  2. Step 2: Convert to fraction form
    264,558.40/396,837.60 = 140,142.40/x
  3. Step 3: Cross multiply
    264,558.40x = 396,837.60 × 140,142.40
  4. Step 4: Simplify right side
    264,558.40x = 55,613,773,674.24
  5. Step 5: Solve for x
    x = 55,613,773,674.24/264,558.40
  6. Step 6: Final answer
    x = 210,213.60

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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.