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Finding the Fourth Proportional to 312,820.40, 470,105.40 and 274,329.20

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Solution

The fourth proportional to 312,820.40, 470,105.40 and 274,329.20 is: 412,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,820.40 : 470,105.40 = 274,329.20 : x
  2. Step 2: Convert to fraction form
    312,820.40/470,105.40 = 274,329.20/x
  3. Step 3: Cross multiply
    312,820.40x = 470,105.40 × 274,329.20
  4. Step 4: Simplify right side
    312,820.40x = 128,963,638,297.68
  5. Step 5: Solve for x
    x = 128,963,638,297.68/312,820.40
  6. Step 6: Final answer
    x = 412,260.96

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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.