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Finding the Fourth Proportional to 379,967.64, 524,370.78 and 210,198.84

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Solution

The fourth proportional to 379,967.64, 524,370.78 and 210,198.84 is: 290,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,967.64 : 524,370.78 = 210,198.84 : x
  2. Step 2: Convert to fraction form
    379,967.64/524,370.78 = 210,198.84/x
  3. Step 3: Cross multiply
    379,967.64x = 524,370.78 × 210,198.84
  4. Step 4: Simplify right side
    379,967.64x = 110,222,129,685.90
  5. Step 5: Solve for x
    x = 110,222,129,685.90/379,967.64
  6. Step 6: Final answer
    x = 290,082.94

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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.