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Finding the Fourth Proportional to 289,396.95, 434,243.61 and 137,765.64

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Solution

The fourth proportional to 289,396.95, 434,243.61 and 137,765.64 is: 206,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.95 : 434,243.61 = 137,765.64 : x
  2. Step 2: Convert to fraction form
    289,396.95/434,243.61 = 137,765.64/x
  3. Step 3: Cross multiply
    289,396.95x = 434,243.61 × 137,765.64
  4. Step 4: Simplify right side
    289,396.95x = 59,823,848,847.56
  5. Step 5: Solve for x
    x = 59,823,848,847.56/289,396.95
  6. Step 6: Final answer
    x = 206,719.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.