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Finding the Fourth Proportional to 313,383.60, 470,075.40 and 76,728.60

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Solution

The fourth proportional to 313,383.60, 470,075.40 and 76,728.60 is: 115,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.60 : 470,075.40 = 76,728.60 : x
  2. Step 2: Convert to fraction form
    313,383.60/470,075.40 = 76,728.60/x
  3. Step 3: Cross multiply
    313,383.60x = 470,075.40 × 76,728.60
  4. Step 4: Simplify right side
    313,383.60x = 36,068,227,336.44
  5. Step 5: Solve for x
    x = 36,068,227,336.44/313,383.60
  6. Step 6: Final answer
    x = 115,092.90

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1.5x scale

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.