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Finding the Fourth Proportional to 285,467.75, 428,185.16 and 85,783.85

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Solution

The fourth proportional to 285,467.75, 428,185.16 and 85,783.85 is: 128,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,467.75 : 428,185.16 = 85,783.85 : x
  2. Step 2: Convert to fraction form
    285,467.75/428,185.16 = 85,783.85/x
  3. Step 3: Cross multiply
    285,467.75x = 428,185.16 × 85,783.85
  4. Step 4: Simplify right side
    285,467.75x = 36,731,371,108.75
  5. Step 5: Solve for x
    x = 36,731,371,108.75/285,467.75
  6. Step 6: Final answer
    x = 128,670.83

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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.