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Finding the Fourth Proportional to 314,555.58, 434,375.19 and 199,872

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Solution

The fourth proportional to 314,555.58, 434,375.19 and 199,872 is: 276,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,555.58 : 434,375.19 = 199,872 : x
  2. Step 2: Convert to fraction form
    314,555.58/434,375.19 = 199,872/x
  3. Step 3: Cross multiply
    314,555.58x = 434,375.19 × 199,872
  4. Step 4: Simplify right side
    314,555.58x = 86,819,437,975.68
  5. Step 5: Solve for x
    x = 86,819,437,975.68/314,555.58
  6. Step 6: Final answer
    x = 276,006.67

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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.