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Finding the Fourth Proportional to 379,464, 523,665.44 and 209,702.08

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Solution

The fourth proportional to 379,464, 523,665.44 and 209,702.08 is: 289,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464 : 523,665.44 = 209,702.08 : x
  2. Step 2: Convert to fraction form
    379,464/523,665.44 = 209,702.08/x
  3. Step 3: Cross multiply
    379,464x = 523,665.44 × 209,702.08
  4. Step 4: Simplify right side
    379,464x = 109,813,731,992.12
  5. Step 5: Solve for x
    x = 109,813,731,992.12/379,464
  6. Step 6: Final answer
    x = 289,391.70

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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.