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Finding the Fourth Proportional to 278,729.85, 384,640.74 and 162,435.91

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Solution

The fourth proportional to 278,729.85, 384,640.74 and 162,435.91 is: 224,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,729.85 : 384,640.74 = 162,435.91 : x
  2. Step 2: Convert to fraction form
    278,729.85/384,640.74 = 162,435.91/x
  3. Step 3: Cross multiply
    278,729.85x = 384,640.74 × 162,435.91
  4. Step 4: Simplify right side
    278,729.85x = 62,479,468,624.97
  5. Step 5: Solve for x
    x = 62,479,468,624.97/278,729.85
  6. Step 6: Final answer
    x = 224,157.80

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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.