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Finding the Fourth Proportional to 313,305, 470,034.04 and 100,072.95

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Solution

The fourth proportional to 313,305, 470,034.04 and 100,072.95 is: 150,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305 : 470,034.04 = 100,072.95 : x
  2. Step 2: Convert to fraction form
    313,305/470,034.04 = 100,072.95/x
  3. Step 3: Cross multiply
    313,305x = 470,034.04 × 100,072.95
  4. Step 4: Simplify right side
    313,305x = 47,037,692,983.22
  5. Step 5: Solve for x
    x = 47,037,692,983.22/313,305
  6. Step 6: Final answer
    x = 150,133.87

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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.