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Finding the Fourth Proportional to 286,015.31, 429,135.83 and 108,569.42

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Solution

The fourth proportional to 286,015.31, 429,135.83 and 108,569.42 is: 162,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,015.31 : 429,135.83 = 108,569.42 : x
  2. Step 2: Convert to fraction form
    286,015.31/429,135.83 = 108,569.42/x
  3. Step 3: Cross multiply
    286,015.31x = 429,135.83 × 108,569.42
  4. Step 4: Simplify right side
    286,015.31x = 46,591,028,164.32
  5. Step 5: Solve for x
    x = 46,591,028,164.32/286,015.31
  6. Step 6: Final answer
    x = 162,896.97

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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.