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Finding the Fourth Proportional to 489,952.38, 734,642.42 and 190,082.54

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Solution

The fourth proportional to 489,952.38, 734,642.42 and 190,082.54 is: 285,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,952.38 : 734,642.42 = 190,082.54 : x
  2. Step 2: Convert to fraction form
    489,952.38/734,642.42 = 190,082.54/x
  3. Step 3: Cross multiply
    489,952.38x = 734,642.42 × 190,082.54
  4. Step 4: Simplify right side
    489,952.38x = 139,642,697,185.35
  5. Step 5: Solve for x
    x = 139,642,697,185.35/489,952.38
  6. Step 6: Final answer
    x = 285,012.79

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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.