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Finding the Fourth Proportional to 396,019.96, 546,506.96 and 214,731.56

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Solution

The fourth proportional to 396,019.96, 546,506.96 and 214,731.56 is: 296,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,019.96 : 546,506.96 = 214,731.56 : x
  2. Step 2: Convert to fraction form
    396,019.96/546,506.96 = 214,731.56/x
  3. Step 3: Cross multiply
    396,019.96x = 546,506.96 × 214,731.56
  4. Step 4: Simplify right side
    396,019.96x = 117,352,292,071.66
  5. Step 5: Solve for x
    x = 117,352,292,071.66/396,019.96
  6. Step 6: Final answer
    x = 296,329.24

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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.