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Finding the Fourth Proportional to 455,339.82, 682,435.53 and 230,756.70

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Solution

The fourth proportional to 455,339.82, 682,435.53 and 230,756.70 is: 345,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,339.82 : 682,435.53 = 230,756.70 : x
  2. Step 2: Convert to fraction form
    455,339.82/682,435.53 = 230,756.70/x
  3. Step 3: Cross multiply
    455,339.82x = 682,435.53 × 230,756.70
  4. Step 4: Simplify right side
    455,339.82x = 157,476,570,865.55
  5. Step 5: Solve for x
    x = 157,476,570,865.55/455,339.82
  6. Step 6: Final answer
    x = 345,844.06

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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.