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Finding the Fourth Proportional to 325,851.20, 489,214.20 and 208,044.80

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Solution

The fourth proportional to 325,851.20, 489,214.20 and 208,044.80 is: 312,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,851.20 : 489,214.20 = 208,044.80 : x
  2. Step 2: Convert to fraction form
    325,851.20/489,214.20 = 208,044.80/x
  3. Step 3: Cross multiply
    325,851.20x = 489,214.20 × 208,044.80
  4. Step 4: Simplify right side
    325,851.20x = 101,778,470,396.16
  5. Step 5: Solve for x
    x = 101,778,470,396.16/325,851.20
  6. Step 6: Final answer
    x = 312,346.46

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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.