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Finding the Fourth Proportional to 340,997.44, 470,559.36 and 190,065.28

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Solution

The fourth proportional to 340,997.44, 470,559.36 and 190,065.28 is: 262,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,997.44 : 470,559.36 = 190,065.28 : x
  2. Step 2: Convert to fraction form
    340,997.44/470,559.36 = 190,065.28/x
  3. Step 3: Cross multiply
    340,997.44x = 470,559.36 × 190,065.28
  4. Step 4: Simplify right side
    340,997.44x = 89,436,996,515.02
  5. Step 5: Solve for x
    x = 89,436,996,515.02/340,997.44
  6. Step 6: Final answer
    x = 262,280.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.