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Finding the Fourth Proportional to 286,241.96, 395,027.61 and 165,399.28

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Solution

The fourth proportional to 286,241.96, 395,027.61 and 165,399.28 is: 228,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,241.96 : 395,027.61 = 165,399.28 : x
  2. Step 2: Convert to fraction form
    286,241.96/395,027.61 = 165,399.28/x
  3. Step 3: Cross multiply
    286,241.96x = 395,027.61 × 165,399.28
  4. Step 4: Simplify right side
    286,241.96x = 65,337,282,274.12
  5. Step 5: Solve for x
    x = 65,337,282,274.12/286,241.96
  6. Step 6: Final answer
    x = 228,258.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.