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Finding the Fourth Proportional to 298,650.40, 447,802.80 and 111,680.80

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Solution

The fourth proportional to 298,650.40, 447,802.80 and 111,680.80 is: 167,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,650.40 : 447,802.80 = 111,680.80 : x
  2. Step 2: Convert to fraction form
    298,650.40/447,802.80 = 111,680.80/x
  3. Step 3: Cross multiply
    298,650.40x = 447,802.80 × 111,680.80
  4. Step 4: Simplify right side
    298,650.40x = 50,010,974,946.24
  5. Step 5: Solve for x
    x = 50,010,974,946.24/298,650.40
  6. Step 6: Final answer
    x = 167,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.