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Finding the Fourth Proportional to 379,910.34, 524,269.80 and 210,144.33

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Solution

The fourth proportional to 379,910.34, 524,269.80 and 210,144.33 is: 289,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,910.34 : 524,269.80 = 210,144.33 : x
  2. Step 2: Convert to fraction form
    379,910.34/524,269.80 = 210,144.33/x
  3. Step 3: Cross multiply
    379,910.34x = 524,269.80 × 210,144.33
  4. Step 4: Simplify right side
    379,910.34x = 110,172,325,860.23
  5. Step 5: Solve for x
    x = 110,172,325,860.23/379,910.34
  6. Step 6: Final answer
    x = 289,995.60

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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.