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Finding the Fourth Proportional to 313,903.56, 470,738.70 and 103,485

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Solution

The fourth proportional to 313,903.56, 470,738.70 and 103,485 is: 155,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,903.56 : 470,738.70 = 103,485 : x
  2. Step 2: Convert to fraction form
    313,903.56/470,738.70 = 103,485/x
  3. Step 3: Cross multiply
    313,903.56x = 470,738.70 × 103,485
  4. Step 4: Simplify right side
    313,903.56x = 48,714,394,369.50
  5. Step 5: Solve for x
    x = 48,714,394,369.50/313,903.56
  6. Step 6: Final answer
    x = 155,189.05

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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.