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Finding the Fourth Proportional to 553,243.40, 827,896.80 and 383,969.60

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Solution

The fourth proportional to 553,243.40, 827,896.80 and 383,969.60 is: 574,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,243.40 : 827,896.80 = 383,969.60 : x
  2. Step 2: Convert to fraction form
    553,243.40/827,896.80 = 383,969.60/x
  3. Step 3: Cross multiply
    553,243.40x = 827,896.80 × 383,969.60
  4. Step 4: Simplify right side
    553,243.40x = 317,887,203,137.28
  5. Step 5: Solve for x
    x = 317,887,203,137.28/553,243.40
  6. Step 6: Final answer
    x = 574,588.33

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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.