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Finding the Fourth Proportional to 285,061.96, 427,142.82 and 231,493.26

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Solution

The fourth proportional to 285,061.96, 427,142.82 and 231,493.26 is: 346,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,061.96 : 427,142.82 = 231,493.26 : x
  2. Step 2: Convert to fraction form
    285,061.96/427,142.82 = 231,493.26/x
  3. Step 3: Cross multiply
    285,061.96x = 427,142.82 × 231,493.26
  4. Step 4: Simplify right side
    285,061.96x = 98,880,682,244.48
  5. Step 5: Solve for x
    x = 98,880,682,244.48/285,061.96
  6. Step 6: Final answer
    x = 346,874.35

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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.