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Finding the Fourth Proportional to 379,442.66, 523,631.05 and 209,676.78

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Solution

The fourth proportional to 379,442.66, 523,631.05 and 209,676.78 is: 289,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,442.66 : 523,631.05 = 209,676.78 : x
  2. Step 2: Convert to fraction form
    379,442.66/523,631.05 = 209,676.78/x
  3. Step 3: Cross multiply
    379,442.66x = 523,631.05 × 209,676.78
  4. Step 4: Simplify right side
    379,442.66x = 109,793,272,472.02
  5. Step 5: Solve for x
    x = 109,793,272,472.02/379,442.66
  6. Step 6: Final answer
    x = 289,354.06

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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.