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Finding the Fourth Proportional to 313,728, 470,327.40 and 136,101.36

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Solution

The fourth proportional to 313,728, 470,327.40 and 136,101.36 is: 204,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,728 : 470,327.40 = 136,101.36 : x
  2. Step 2: Convert to fraction form
    313,728/470,327.40 = 136,101.36/x
  3. Step 3: Cross multiply
    313,728x = 470,327.40 × 136,101.36
  4. Step 4: Simplify right side
    313,728x = 64,012,198,785.26
  5. Step 5: Solve for x
    x = 64,012,198,785.26/313,728
  6. Step 6: Final answer
    x = 204,037.25

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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.