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Finding the Fourth Proportional to 379,294.16, 523,406.60 and 209,495.44

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Solution

The fourth proportional to 379,294.16, 523,406.60 and 209,495.44 is: 289,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,294.16 : 523,406.60 = 209,495.44 : x
  2. Step 2: Convert to fraction form
    379,294.16/523,406.60 = 209,495.44/x
  3. Step 3: Cross multiply
    379,294.16x = 523,406.60 × 209,495.44
  4. Step 4: Simplify right side
    379,294.16x = 109,651,295,965.90
  5. Step 5: Solve for x
    x = 109,651,295,965.90/379,294.16
  6. Step 6: Final answer
    x = 289,093.02

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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.