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Finding the Fourth Proportional to 313,900.40, 470,850.60 and 126,815.60

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Solution

The fourth proportional to 313,900.40, 470,850.60 and 126,815.60 is: 190,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,900.40 : 470,850.60 = 126,815.60 : x
  2. Step 2: Convert to fraction form
    313,900.40/470,850.60 = 126,815.60/x
  3. Step 3: Cross multiply
    313,900.40x = 470,850.60 × 126,815.60
  4. Step 4: Simplify right side
    313,900.40x = 59,711,201,349.36
  5. Step 5: Solve for x
    x = 59,711,201,349.36/313,900.40
  6. Step 6: Final answer
    x = 190,223.40

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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.