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Finding the Fourth Proportional to 489,201.80, 734,493.90 and 302,577.80

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Solution

The fourth proportional to 489,201.80, 734,493.90 and 302,577.80 is: 454,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,201.80 : 734,493.90 = 302,577.80 : x
  2. Step 2: Convert to fraction form
    489,201.80/734,493.90 = 302,577.80/x
  3. Step 3: Cross multiply
    489,201.80x = 734,493.90 × 302,577.80
  4. Step 4: Simplify right side
    489,201.80x = 222,241,548,375.42
  5. Step 5: Solve for x
    x = 222,241,548,375.42/489,201.80
  6. Step 6: Final answer
    x = 454,294.22

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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.