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Finding the Fourth Proportional to 285,675.86, 428,567.94 and 114,910.64

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Solution

The fourth proportional to 285,675.86, 428,567.94 and 114,910.64 is: 172,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,675.86 : 428,567.94 = 114,910.64 : x
  2. Step 2: Convert to fraction form
    285,675.86/428,567.94 = 114,910.64/x
  3. Step 3: Cross multiply
    285,675.86x = 428,567.94 × 114,910.64
  4. Step 4: Simplify right side
    285,675.86x = 49,247,016,268.88
  5. Step 5: Solve for x
    x = 49,247,016,268.88/285,675.86
  6. Step 6: Final answer
    x = 172,387.74

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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.