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Finding the Fourth Proportional to 289,481.94, 399,507.22 and 182,143.98

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Solution

The fourth proportional to 289,481.94, 399,507.22 and 182,143.98 is: 251,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,481.94 : 399,507.22 = 182,143.98 : x
  2. Step 2: Convert to fraction form
    289,481.94/399,507.22 = 182,143.98/x
  3. Step 3: Cross multiply
    289,481.94x = 399,507.22 × 182,143.98
  4. Step 4: Simplify right side
    289,481.94x = 72,767,835,089.54
  5. Step 5: Solve for x
    x = 72,767,835,089.54/289,481.94
  6. Step 6: Final answer
    x = 251,372.62

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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.