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Finding the Fourth Proportional to 298,517.40, 411,638.31 and 230,545.44

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Solution

The fourth proportional to 298,517.40, 411,638.31 and 230,545.44 is: 317,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,517.40 : 411,638.31 = 230,545.44 : x
  2. Step 2: Convert to fraction form
    298,517.40/411,638.31 = 230,545.44/x
  3. Step 3: Cross multiply
    298,517.40x = 411,638.31 × 230,545.44
  4. Step 4: Simplify right side
    298,517.40x = 94,901,335,299.81
  5. Step 5: Solve for x
    x = 94,901,335,299.81/298,517.40
  6. Step 6: Final answer
    x = 317,908.89

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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.