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Finding the Fourth Proportional to 381,693.35, 572,736.86 and 157,219.67

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Solution

The fourth proportional to 381,693.35, 572,736.86 and 157,219.67 is: 235,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,693.35 : 572,736.86 = 157,219.67 : x
  2. Step 2: Convert to fraction form
    381,693.35/572,736.86 = 157,219.67/x
  3. Step 3: Cross multiply
    381,693.35x = 572,736.86 × 157,219.67
  4. Step 4: Simplify right side
    381,693.35x = 90,045,496,476.25
  5. Step 5: Solve for x
    x = 90,045,496,476.25/381,693.35
  6. Step 6: Final answer
    x = 235,910.57

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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.