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Finding the Fourth Proportional to 264,856.80, 397,438.80 and 98,661.60

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Solution

The fourth proportional to 264,856.80, 397,438.80 and 98,661.60 is: 148,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,856.80 : 397,438.80 = 98,661.60 : x
  2. Step 2: Convert to fraction form
    264,856.80/397,438.80 = 98,661.60/x
  3. Step 3: Cross multiply
    264,856.80x = 397,438.80 × 98,661.60
  4. Step 4: Simplify right side
    264,856.80x = 39,211,947,910.08
  5. Step 5: Solve for x
    x = 39,211,947,910.08/264,856.80
  6. Step 6: Final answer
    x = 148,049.62

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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.