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Finding the Fourth Proportional to 489,538.80, 733,962.60 and 189,903.60

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Solution

The fourth proportional to 489,538.80, 733,962.60 and 189,903.60 is: 284,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,538.80 : 733,962.60 = 189,903.60 : x
  2. Step 2: Convert to fraction form
    489,538.80/733,962.60 = 189,903.60/x
  3. Step 3: Cross multiply
    489,538.80x = 733,962.60 × 189,903.60
  4. Step 4: Simplify right side
    489,538.80x = 139,382,140,005.36
  5. Step 5: Solve for x
    x = 139,382,140,005.36/489,538.80
  6. Step 6: Final answer
    x = 284,721.33

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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.