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Finding the Fourth Proportional to 489,536.80, 733,959.60 and 189,901.60

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Solution

The fourth proportional to 489,536.80, 733,959.60 and 189,901.60 is: 284,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,536.80 : 733,959.60 = 189,901.60 : x
  2. Step 2: Convert to fraction form
    489,536.80/733,959.60 = 189,901.60/x
  3. Step 3: Cross multiply
    489,536.80x = 733,959.60 × 189,901.60
  4. Step 4: Simplify right side
    489,536.80x = 139,380,102,375.36
  5. Step 5: Solve for x
    x = 139,380,102,375.36/489,536.80
  6. Step 6: Final answer
    x = 284,718.33

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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.