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Finding the Fourth Proportional to 381,563.56, 572,357.53 and 191,920.36

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Solution

The fourth proportional to 381,563.56, 572,357.53 and 191,920.36 is: 287,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563.56 : 572,357.53 = 191,920.36 : x
  2. Step 2: Convert to fraction form
    381,563.56/572,357.53 = 191,920.36/x
  3. Step 3: Cross multiply
    381,563.56x = 572,357.53 × 191,920.36
  4. Step 4: Simplify right side
    381,563.56x = 109,847,064,428.36
  5. Step 5: Solve for x
    x = 109,847,064,428.36/381,563.56
  6. Step 6: Final answer
    x = 287,886.67

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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.