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Finding the Fourth Proportional to 286,779.24, 395,712 and 165,896.64

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Solution

The fourth proportional to 286,779.24, 395,712 and 165,896.64 is: 228,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,779.24 : 395,712 = 165,896.64 : x
  2. Step 2: Convert to fraction form
    286,779.24/395,712 = 165,896.64/x
  3. Step 3: Cross multiply
    286,779.24x = 395,712 × 165,896.64
  4. Step 4: Simplify right side
    286,779.24x = 65,647,291,207.68
  5. Step 5: Solve for x
    x = 65,647,291,207.68/286,779.24
  6. Step 6: Final answer
    x = 228,912.29

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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.