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Finding the Fourth Proportional to 396,478.50, 546,738.15 and 339,307.58

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Solution

The fourth proportional to 396,478.50, 546,738.15 and 339,307.58 is: 467,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,478.50 : 546,738.15 = 339,307.58 : x
  2. Step 2: Convert to fraction form
    396,478.50/546,738.15 = 339,307.58/x
  3. Step 3: Cross multiply
    396,478.50x = 546,738.15 × 339,307.58
  4. Step 4: Simplify right side
    396,478.50x = 185,512,401,209.43
  5. Step 5: Solve for x
    x = 185,512,401,209.43/396,478.50
  6. Step 6: Final answer
    x = 467,900.28

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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.