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Finding the Fourth Proportional to 286,014.31, 429,134.33 and 108,568.42

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Solution

The fourth proportional to 286,014.31, 429,134.33 and 108,568.42 is: 162,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,014.31 : 429,134.33 = 108,568.42 : x
  2. Step 2: Convert to fraction form
    286,014.31/429,134.33 = 108,568.42/x
  3. Step 3: Cross multiply
    286,014.31x = 429,134.33 × 108,568.42
  4. Step 4: Simplify right side
    286,014.31x = 46,590,436,175.86
  5. Step 5: Solve for x
    x = 46,590,436,175.86/286,014.31
  6. Step 6: Final answer
    x = 162,895.47

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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.