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Finding the Fourth Proportional to 313,825.72, 470,734.46 and 77,170.44

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Solution

The fourth proportional to 313,825.72, 470,734.46 and 77,170.44 is: 115,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,825.72 : 470,734.46 = 77,170.44 : x
  2. Step 2: Convert to fraction form
    313,825.72/470,734.46 = 77,170.44/x
  3. Step 3: Cross multiply
    313,825.72x = 470,734.46 × 77,170.44
  4. Step 4: Simplify right side
    313,825.72x = 36,326,785,401.36
  5. Step 5: Solve for x
    x = 36,326,785,401.36/313,825.72
  6. Step 6: Final answer
    x = 115,754.65

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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.