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Finding the Fourth Proportional to 313,905.20, 470,080.20 and 201,412.40

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Solution

The fourth proportional to 313,905.20, 470,080.20 and 201,412.40 is: 301,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905.20 : 470,080.20 = 201,412.40 : x
  2. Step 2: Convert to fraction form
    313,905.20/470,080.20 = 201,412.40/x
  3. Step 3: Cross multiply
    313,905.20x = 470,080.20 × 201,412.40
  4. Step 4: Simplify right side
    313,905.20x = 94,679,981,274.48
  5. Step 5: Solve for x
    x = 94,679,981,274.48/313,905.20
  6. Step 6: Final answer
    x = 301,619.67

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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.