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Finding the Fourth Proportional to 489,577.08, 734,400.04 and 204,980.42

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Solution

The fourth proportional to 489,577.08, 734,400.04 and 204,980.42 is: 307,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,577.08 : 734,400.04 = 204,980.42 : x
  2. Step 2: Convert to fraction form
    489,577.08/734,400.04 = 204,980.42/x
  3. Step 3: Cross multiply
    489,577.08x = 734,400.04 × 204,980.42
  4. Step 4: Simplify right side
    489,577.08x = 150,537,628,647.22
  5. Step 5: Solve for x
    x = 150,537,628,647.22/489,577.08
  6. Step 6: Final answer
    x = 307,485.04

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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.