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Finding the Fourth Proportional to 604,059.80, 905,523.81 and 204,420.78

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Solution

The fourth proportional to 604,059.80, 905,523.81 and 204,420.78 is: 306,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,059.80 : 905,523.81 = 204,420.78 : x
  2. Step 2: Convert to fraction form
    604,059.80/905,523.81 = 204,420.78/x
  3. Step 3: Cross multiply
    604,059.80x = 905,523.81 × 204,420.78
  4. Step 4: Simplify right side
    604,059.80x = 185,107,882,782.19
  5. Step 5: Solve for x
    x = 185,107,882,782.19/604,059.80
  6. Step 6: Final answer
    x = 306,439.67

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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.