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Finding the Fourth Proportional to 379,653.72, 523,933.14 and 209,898.84

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Solution

The fourth proportional to 379,653.72, 523,933.14 and 209,898.84 is: 289,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,653.72 : 523,933.14 = 209,898.84 : x
  2. Step 2: Convert to fraction form
    379,653.72/523,933.14 = 209,898.84/x
  3. Step 3: Cross multiply
    379,653.72x = 523,933.14 × 209,898.84
  4. Step 4: Simplify right side
    379,653.72x = 109,972,958,323.56
  5. Step 5: Solve for x
    x = 109,972,958,323.56/379,653.72
  6. Step 6: Final answer
    x = 289,666.48

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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.