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Finding the Fourth Proportional to 313,640.32, 470,486.48 and 100,439.36

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Solution

The fourth proportional to 313,640.32, 470,486.48 and 100,439.36 is: 150,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640.32 : 470,486.48 = 100,439.36 : x
  2. Step 2: Convert to fraction form
    313,640.32/470,486.48 = 100,439.36/x
  3. Step 3: Cross multiply
    313,640.32x = 470,486.48 × 100,439.36
  4. Step 4: Simplify right side
    313,640.32x = 47,255,360,939.85
  5. Step 5: Solve for x
    x = 47,255,360,939.85/313,640.32
  6. Step 6: Final answer
    x = 150,667.37

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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.