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Finding the Fourth Proportional to 512,317.74, 768,476.61 and 262,840.62

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Solution

The fourth proportional to 512,317.74, 768,476.61 and 262,840.62 is: 394,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,317.74 : 768,476.61 = 262,840.62 : x
  2. Step 2: Convert to fraction form
    512,317.74/768,476.61 = 262,840.62/x
  3. Step 3: Cross multiply
    512,317.74x = 768,476.61 × 262,840.62
  4. Step 4: Simplify right side
    512,317.74x = 201,986,868,627.90
  5. Step 5: Solve for x
    x = 201,986,868,627.90/512,317.74
  6. Step 6: Final answer
    x = 394,260.93

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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.