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Finding the Fourth Proportional to 313,942.40, 470,913.60 and 289,980.80

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Solution

The fourth proportional to 313,942.40, 470,913.60 and 289,980.80 is: 434,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,942.40 : 470,913.60 = 289,980.80 : x
  2. Step 2: Convert to fraction form
    313,942.40/470,913.60 = 289,980.80/x
  3. Step 3: Cross multiply
    313,942.40x = 470,913.60 × 289,980.80
  4. Step 4: Simplify right side
    313,942.40x = 136,555,902,458.88
  5. Step 5: Solve for x
    x = 136,555,902,458.88/313,942.40
  6. Step 6: Final answer
    x = 434,971.20

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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.