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Finding the Fourth Proportional to 313,645.60, 470,468.40 and 188,922.40

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Solution

The fourth proportional to 313,645.60, 470,468.40 and 188,922.40 is: 283,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,645.60 : 470,468.40 = 188,922.40 : x
  2. Step 2: Convert to fraction form
    313,645.60/470,468.40 = 188,922.40/x
  3. Step 3: Cross multiply
    313,645.60x = 470,468.40 × 188,922.40
  4. Step 4: Simplify right side
    313,645.60x = 88,882,019,252.16
  5. Step 5: Solve for x
    x = 88,882,019,252.16/313,645.60
  6. Step 6: Final answer
    x = 283,383.60

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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.