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Finding the Fourth Proportional to 340,579.75, 470,014.64 and 189,676.75

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Solution

The fourth proportional to 340,579.75, 470,014.64 and 189,676.75 is: 261,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,579.75 : 470,014.64 = 189,676.75 : x
  2. Step 2: Convert to fraction form
    340,579.75/470,014.64 = 189,676.75/x
  3. Step 3: Cross multiply
    340,579.75x = 470,014.64 × 189,676.75
  4. Step 4: Simplify right side
    340,579.75x = 89,150,849,367.62
  5. Step 5: Solve for x
    x = 89,150,849,367.62/340,579.75
  6. Step 6: Final answer
    x = 261,762.04

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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.