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Finding the Fourth Proportional to 208,301.80, 312,015.30 and 173,309.80

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Solution

The fourth proportional to 208,301.80, 312,015.30 and 173,309.80 is: 259,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.80 : 312,015.30 = 173,309.80 : x
  2. Step 2: Convert to fraction form
    208,301.80/312,015.30 = 173,309.80/x
  3. Step 3: Cross multiply
    208,301.80x = 312,015.30 × 173,309.80
  4. Step 4: Simplify right side
    208,301.80x = 54,075,309,239.94
  5. Step 5: Solve for x
    x = 54,075,309,239.94/208,301.80
  6. Step 6: Final answer
    x = 259,600.78

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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.