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Finding the Fourth Proportional to 456,906.40, 683,804.40 and 400,919.20

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Solution

The fourth proportional to 456,906.40, 683,804.40 and 400,919.20 is: 600,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,906.40 : 683,804.40 = 400,919.20 : x
  2. Step 2: Convert to fraction form
    456,906.40/683,804.40 = 400,919.20/x
  3. Step 3: Cross multiply
    456,906.40x = 683,804.40 × 400,919.20
  4. Step 4: Simplify right side
    456,906.40x = 274,150,313,004.48
  5. Step 5: Solve for x
    x = 274,150,313,004.48/456,906.40
  6. Step 6: Final answer
    x = 600,014.17

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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.