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Finding the Fourth Proportional to 313,650.63, 470,485.17 and 76,993.30

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Solution

The fourth proportional to 313,650.63, 470,485.17 and 76,993.30 is: 115,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,650.63 : 470,485.17 = 76,993.30 : x
  2. Step 2: Convert to fraction form
    313,650.63/470,485.17 = 76,993.30/x
  3. Step 3: Cross multiply
    313,650.63x = 470,485.17 × 76,993.30
  4. Step 4: Simplify right side
    313,650.63x = 36,224,205,454.39
  5. Step 5: Solve for x
    x = 36,224,205,454.39/313,650.63
  6. Step 6: Final answer
    x = 115,492.21

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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.