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Finding the Fourth Proportional to 285,487.64, 428,198.10 and 114,702.43

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Solution

The fourth proportional to 285,487.64, 428,198.10 and 114,702.43 is: 172,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,487.64 : 428,198.10 = 114,702.43 : x
  2. Step 2: Convert to fraction form
    285,487.64/428,198.10 = 114,702.43/x
  3. Step 3: Cross multiply
    285,487.64x = 428,198.10 × 114,702.43
  4. Step 4: Simplify right side
    285,487.64x = 49,115,361,893.63
  5. Step 5: Solve for x
    x = 49,115,361,893.63/285,487.64
  6. Step 6: Final answer
    x = 172,040.24

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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.