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Finding the Fourth Proportional to 285,425.20, 427,830.60 and 107,863.60

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Solution

The fourth proportional to 285,425.20, 427,830.60 and 107,863.60 is: 161,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,425.20 : 427,830.60 = 107,863.60 : x
  2. Step 2: Convert to fraction form
    285,425.20/427,830.60 = 107,863.60/x
  3. Step 3: Cross multiply
    285,425.20x = 427,830.60 × 107,863.60
  4. Step 4: Simplify right side
    285,425.20x = 46,147,348,706.16
  5. Step 5: Solve for x
    x = 46,147,348,706.16/285,425.20
  6. Step 6: Final answer
    x = 161,679.31

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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.