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Finding the Fourth Proportional to 312,814.40, 470,096.40 and 274,323.20

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Solution

The fourth proportional to 312,814.40, 470,096.40 and 274,323.20 is: 412,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,814.40 : 470,096.40 = 274,323.20 : x
  2. Step 2: Convert to fraction form
    312,814.40/470,096.40 = 274,323.20/x
  3. Step 3: Cross multiply
    312,814.40x = 470,096.40 × 274,323.20
  4. Step 4: Simplify right side
    312,814.40x = 128,958,348,756.48
  5. Step 5: Solve for x
    x = 128,958,348,756.48/312,814.40
  6. Step 6: Final answer
    x = 412,251.96

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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.