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Finding the Fourth Proportional to 340,577.75, 470,011.89 and 189,674.75

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Solution

The fourth proportional to 340,577.75, 470,011.89 and 189,674.75 is: 261,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,577.75 : 470,011.89 = 189,674.75 : x
  2. Step 2: Convert to fraction form
    340,577.75/470,011.89 = 189,674.75/x
  3. Step 3: Cross multiply
    340,577.75x = 470,011.89 × 189,674.75
  4. Step 4: Simplify right side
    340,577.75x = 89,149,387,732.78
  5. Step 5: Solve for x
    x = 89,149,387,732.78/340,577.75
  6. Step 6: Final answer
    x = 261,759.28

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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.