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Finding the Fourth Proportional to 355,611.96, 533,834.69 and 280,782.54

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Solution

The fourth proportional to 355,611.96, 533,834.69 and 280,782.54 is: 421,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,611.96 : 533,834.69 = 280,782.54 : x
  2. Step 2: Convert to fraction form
    355,611.96/533,834.69 = 280,782.54/x
  3. Step 3: Cross multiply
    355,611.96x = 533,834.69 × 280,782.54
  4. Step 4: Simplify right side
    355,611.96x = 149,891,458,794.40
  5. Step 5: Solve for x
    x = 149,891,458,794.40/355,611.96
  6. Step 6: Final answer
    x = 421,502.86

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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.