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Finding the Fourth Proportional to 285,302.34, 427,958.37 and 107,892.90

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Solution

The fourth proportional to 285,302.34, 427,958.37 and 107,892.90 is: 161,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,302.34 : 427,958.37 = 107,892.90 : x
  2. Step 2: Convert to fraction form
    285,302.34/427,958.37 = 107,892.90/x
  3. Step 3: Cross multiply
    285,302.34x = 427,958.37 × 107,892.90
  4. Step 4: Simplify right side
    285,302.34x = 46,173,669,618.57
  5. Step 5: Solve for x
    x = 46,173,669,618.57/285,302.34
  6. Step 6: Final answer
    x = 161,841.19

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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.