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Finding the Fourth Proportional to 298,029.78, 411,433.48 and 229,893.80

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Solution

The fourth proportional to 298,029.78, 411,433.48 and 229,893.80 is: 317,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,029.78 : 411,433.48 = 229,893.80 : x
  2. Step 2: Convert to fraction form
    298,029.78/411,433.48 = 229,893.80/x
  3. Step 3: Cross multiply
    298,029.78x = 411,433.48 × 229,893.80
  4. Step 4: Simplify right side
    298,029.78x = 94,586,003,101.47
  5. Step 5: Solve for x
    x = 94,586,003,101.47/298,029.78
  6. Step 6: Final answer
    x = 317,370.98

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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.