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Finding the Fourth Proportional to 379,611.74, 523,837.86 and 209,832.50

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Solution

The fourth proportional to 379,611.74, 523,837.86 and 209,832.50 is: 289,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,611.74 : 523,837.86 = 209,832.50 : x
  2. Step 2: Convert to fraction form
    379,611.74/523,837.86 = 209,832.50/x
  3. Step 3: Cross multiply
    379,611.74x = 523,837.86 × 209,832.50
  4. Step 4: Simplify right side
    379,611.74x = 109,918,207,758.45
  5. Step 5: Solve for x
    x = 109,918,207,758.45/379,611.74
  6. Step 6: Final answer
    x = 289,554.29

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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.