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Finding the Fourth Proportional to 513,789.21, 770,400.86 and 158,704.65

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Solution

The fourth proportional to 513,789.21, 770,400.86 and 158,704.65 is: 237,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,789.21 : 770,400.86 = 158,704.65 : x
  2. Step 2: Convert to fraction form
    513,789.21/770,400.86 = 158,704.65/x
  3. Step 3: Cross multiply
    513,789.21x = 770,400.86 × 158,704.65
  4. Step 4: Simplify right side
    513,789.21x = 122,266,198,052.48
  5. Step 5: Solve for x
    x = 122,266,198,052.48/513,789.21
  6. Step 6: Final answer
    x = 237,969.57

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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.