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Finding the Fourth Proportional to 284,843.85, 427,308.30 and 104,915.58

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Solution

The fourth proportional to 284,843.85, 427,308.30 and 104,915.58 is: 157,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,843.85 : 427,308.30 = 104,915.58 : x
  2. Step 2: Convert to fraction form
    284,843.85/427,308.30 = 104,915.58/x
  3. Step 3: Cross multiply
    284,843.85x = 427,308.30 × 104,915.58
  4. Step 4: Simplify right side
    284,843.85x = 44,831,298,133.31
  5. Step 5: Solve for x
    x = 44,831,298,133.31/284,843.85
  6. Step 6: Final answer
    x = 157,389.03

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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.