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Finding the Fourth Proportional to 340,735.80, 511,103.70 and 261,019.65

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Solution

The fourth proportional to 340,735.80, 511,103.70 and 261,019.65 is: 391,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,735.80 : 511,103.70 = 261,019.65 : x
  2. Step 2: Convert to fraction form
    340,735.80/511,103.70 = 261,019.65/x
  3. Step 3: Cross multiply
    340,735.80x = 511,103.70 × 261,019.65
  4. Step 4: Simplify right side
    340,735.80x = 133,408,108,887.71
  5. Step 5: Solve for x
    x = 133,408,108,887.71/340,735.80
  6. Step 6: Final answer
    x = 391,529.48

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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.