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Finding the Fourth Proportional to 312,234.46, 430,894 and 191,352.40

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Solution

The fourth proportional to 312,234.46, 430,894 and 191,352.40 is: 264,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,234.46 : 430,894 = 191,352.40 : x
  2. Step 2: Convert to fraction form
    312,234.46/430,894 = 191,352.40/x
  3. Step 3: Cross multiply
    312,234.46x = 430,894 × 191,352.40
  4. Step 4: Simplify right side
    312,234.46x = 82,452,601,045.60
  5. Step 5: Solve for x
    x = 82,452,601,045.60/312,234.46
  6. Step 6: Final answer
    x = 264,072.71

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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.