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Finding the Fourth Proportional to 355,630.89, 491,323.23 and 298,181.14

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Solution

The fourth proportional to 355,630.89, 491,323.23 and 298,181.14 is: 411,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,630.89 : 491,323.23 = 298,181.14 : x
  2. Step 2: Convert to fraction form
    355,630.89/491,323.23 = 298,181.14/x
  3. Step 3: Cross multiply
    355,630.89x = 491,323.23 × 298,181.14
  4. Step 4: Simplify right side
    355,630.89x = 146,503,320,829.88
  5. Step 5: Solve for x
    x = 146,503,320,829.88/355,630.89
  6. Step 6: Final answer
    x = 411,953.31

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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.