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Finding the Fourth Proportional to 396,071.71, 546,579.11 and 214,783.59

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Solution

The fourth proportional to 396,071.71, 546,579.11 and 214,783.59 is: 296,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,071.71 : 546,579.11 = 214,783.59 : x
  2. Step 2: Convert to fraction form
    396,071.71/546,579.11 = 214,783.59/x
  3. Step 3: Cross multiply
    396,071.71x = 546,579.11 × 214,783.59
  4. Step 4: Simplify right side
    396,071.71x = 117,396,223,464.81
  5. Step 5: Solve for x
    x = 117,396,223,464.81/396,071.71
  6. Step 6: Final answer
    x = 296,401.44

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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.