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Finding the Fourth Proportional to 405,704.25, 607,834.66 and 345,933.54

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Solution

The fourth proportional to 405,704.25, 607,834.66 and 345,933.54 is: 518,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,704.25 : 607,834.66 = 345,933.54 : x
  2. Step 2: Convert to fraction form
    405,704.25/607,834.66 = 345,933.54/x
  3. Step 3: Cross multiply
    405,704.25x = 607,834.66 × 345,933.54
  4. Step 4: Simplify right side
    405,704.25x = 210,270,395,668.50
  5. Step 5: Solve for x
    x = 210,270,395,668.50/405,704.25
  6. Step 6: Final answer
    x = 518,284.92

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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.