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Finding the Fourth Proportional to 313,434.39, 470,137.01 and 76,764.54

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Solution

The fourth proportional to 313,434.39, 470,137.01 and 76,764.54 is: 115,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,434.39 : 470,137.01 = 76,764.54 : x
  2. Step 2: Convert to fraction form
    313,434.39/470,137.01 = 76,764.54/x
  3. Step 3: Cross multiply
    313,434.39x = 470,137.01 × 76,764.54
  4. Step 4: Simplify right side
    313,434.39x = 36,089,850,925.80
  5. Step 5: Solve for x
    x = 36,089,850,925.80/313,434.39
  6. Step 6: Final answer
    x = 115,143.24

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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.