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Finding the Fourth Proportional to 313,758.60, 470,536.78 and 103,346.44

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Solution

The fourth proportional to 313,758.60, 470,536.78 and 103,346.44 is: 154,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,758.60 : 470,536.78 = 103,346.44 : x
  2. Step 2: Convert to fraction form
    313,758.60/470,536.78 = 103,346.44/x
  3. Step 3: Cross multiply
    313,758.60x = 470,536.78 × 103,346.44
  4. Step 4: Simplify right side
    313,758.60x = 48,628,301,102.06
  5. Step 5: Solve for x
    x = 48,628,301,102.06/313,758.60
  6. Step 6: Final answer
    x = 154,986.35

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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.