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Finding the Fourth Proportional to 456,448.75, 684,735.43 and 190,146.98

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Solution

The fourth proportional to 456,448.75, 684,735.43 and 190,146.98 is: 285,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.75 : 684,735.43 = 190,146.98 : x
  2. Step 2: Convert to fraction form
    456,448.75/684,735.43 = 190,146.98/x
  3. Step 3: Cross multiply
    456,448.75x = 684,735.43 × 190,146.98
  4. Step 4: Simplify right side
    456,448.75x = 130,200,372,877.03
  5. Step 5: Solve for x
    x = 130,200,372,877.03/456,448.75
  6. Step 6: Final answer
    x = 285,246.42

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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.