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Finding the Fourth Proportional to 458,268.96, 687,414.96 and 125,844

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Solution

The fourth proportional to 458,268.96, 687,414.96 and 125,844 is: 188,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,268.96 : 687,414.96 = 125,844 : x
  2. Step 2: Convert to fraction form
    458,268.96/687,414.96 = 125,844/x
  3. Step 3: Cross multiply
    458,268.96x = 687,414.96 × 125,844
  4. Step 4: Simplify right side
    458,268.96x = 86,507,048,226.24
  5. Step 5: Solve for x
    x = 86,507,048,226.24/458,268.96
  6. Step 6: Final answer
    x = 188,769.16

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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.