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Finding the Fourth Proportional to 313,923.80, 470,885.70 and 207,635.60

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Solution

The fourth proportional to 313,923.80, 470,885.70 and 207,635.60 is: 311,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.80 : 470,885.70 = 207,635.60 : x
  2. Step 2: Convert to fraction form
    313,923.80/470,885.70 = 207,635.60/x
  3. Step 3: Cross multiply
    313,923.80x = 470,885.70 × 207,635.60
  4. Step 4: Simplify right side
    313,923.80x = 97,772,634,850.92
  5. Step 5: Solve for x
    x = 97,772,634,850.92/313,923.80
  6. Step 6: Final answer
    x = 311,453.40

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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.