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Finding the Fourth Proportional to 383,504.90, 529,274.21 and 286,540.52

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Solution

The fourth proportional to 383,504.90, 529,274.21 and 286,540.52 is: 395,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,504.90 : 529,274.21 = 286,540.52 : x
  2. Step 2: Convert to fraction form
    383,504.90/529,274.21 = 286,540.52/x
  3. Step 3: Cross multiply
    383,504.90x = 529,274.21 × 286,540.52
  4. Step 4: Simplify right side
    383,504.90x = 151,658,503,276.92
  5. Step 5: Solve for x
    x = 151,658,503,276.92/383,504.90
  6. Step 6: Final answer
    x = 395,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.