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Finding the Fourth Proportional to 647,203.90, 971,243.26 and 226,483.42

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Solution

The fourth proportional to 647,203.90, 971,243.26 and 226,483.42 is: 339,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,203.90 : 971,243.26 = 226,483.42 : x
  2. Step 2: Convert to fraction form
    647,203.90/971,243.26 = 226,483.42/x
  3. Step 3: Cross multiply
    647,203.90x = 971,243.26 × 226,483.42
  4. Step 4: Simplify right side
    647,203.90x = 219,970,495,176.75
  5. Step 5: Solve for x
    x = 219,970,495,176.75/647,203.90
  6. Step 6: Final answer
    x = 339,878.20

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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.