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Finding the Fourth Proportional to 489,538.64, 734,314.44 and 190,036.28

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Solution

The fourth proportional to 489,538.64, 734,314.44 and 190,036.28 is: 285,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,538.64 : 734,314.44 = 190,036.28 : x
  2. Step 2: Convert to fraction form
    489,538.64/734,314.44 = 190,036.28/x
  3. Step 3: Cross multiply
    489,538.64x = 734,314.44 × 190,036.28
  4. Step 4: Simplify right side
    489,538.64x = 139,546,384,527.88
  5. Step 5: Solve for x
    x = 139,546,384,527.88/489,538.64
  6. Step 6: Final answer
    x = 285,056.94

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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.