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Finding the Fourth Proportional to 298,834.49, 412,379.58 and 162,865.53

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Solution

The fourth proportional to 298,834.49, 412,379.58 and 162,865.53 is: 224,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,834.49 : 412,379.58 = 162,865.53 : x
  2. Step 2: Convert to fraction form
    298,834.49/412,379.58 = 162,865.53/x
  3. Step 3: Cross multiply
    298,834.49x = 412,379.58 × 162,865.53
  4. Step 4: Simplify right side
    298,834.49x = 67,162,418,857.88
  5. Step 5: Solve for x
    x = 67,162,418,857.88/298,834.49
  6. Step 6: Final answer
    x = 224,747.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.