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Finding the Fourth Proportional to 279,898.56, 385,955.10 and 189,096.84

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Solution

The fourth proportional to 279,898.56, 385,955.10 and 189,096.84 is: 260,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,898.56 : 385,955.10 = 189,096.84 : x
  2. Step 2: Convert to fraction form
    279,898.56/385,955.10 = 189,096.84/x
  3. Step 3: Cross multiply
    279,898.56x = 385,955.10 × 189,096.84
  4. Step 4: Simplify right side
    279,898.56x = 72,982,889,791.88
  5. Step 5: Solve for x
    x = 72,982,889,791.88/279,898.56
  6. Step 6: Final answer
    x = 260,747.64

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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.