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Finding the Fourth Proportional to 313,716.54, 470,535.93 and 185,709

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Solution

The fourth proportional to 313,716.54, 470,535.93 and 185,709 is: 278,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,716.54 : 470,535.93 = 185,709 : x
  2. Step 2: Convert to fraction form
    313,716.54/470,535.93 = 185,709/x
  3. Step 3: Cross multiply
    313,716.54x = 470,535.93 × 185,709
  4. Step 4: Simplify right side
    313,716.54x = 87,382,757,024.37
  5. Step 5: Solve for x
    x = 87,382,757,024.37/313,716.54
  6. Step 6: Final answer
    x = 278,540.48

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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.