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Finding the Fourth Proportional to 396,512, 546,823.56 and 260,492

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Solution

The fourth proportional to 396,512, 546,823.56 and 260,492 is: 359,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,512 : 546,823.56 = 260,492 : x
  2. Step 2: Convert to fraction form
    396,512/546,823.56 = 260,492/x
  3. Step 3: Cross multiply
    396,512x = 546,823.56 × 260,492
  4. Step 4: Simplify right side
    396,512x = 142,443,162,791.52
  5. Step 5: Solve for x
    x = 142,443,162,791.52/396,512
  6. Step 6: Final answer
    x = 359,240.48

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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.