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Finding the Fourth Proportional to 379,442.78, 523,631.22 and 209,676.90

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Solution

The fourth proportional to 379,442.78, 523,631.22 and 209,676.90 is: 289,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,442.78 : 523,631.22 = 209,676.90 : x
  2. Step 2: Convert to fraction form
    379,442.78/523,631.22 = 209,676.90/x
  3. Step 3: Cross multiply
    379,442.78x = 523,631.22 × 209,676.90
  4. Step 4: Simplify right side
    379,442.78x = 109,793,370,952.82
  5. Step 5: Solve for x
    x = 109,793,370,952.82/379,442.78
  6. Step 6: Final answer
    x = 289,354.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.