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Finding the Fourth Proportional to 638,522.02, 881,313.93 and 383,824

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Solution

The fourth proportional to 638,522.02, 881,313.93 and 383,824 is: 529,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,522.02 : 881,313.93 = 383,824 : x
  2. Step 2: Convert to fraction form
    638,522.02/881,313.93 = 383,824/x
  3. Step 3: Cross multiply
    638,522.02x = 881,313.93 × 383,824
  4. Step 4: Simplify right side
    638,522.02x = 338,269,437,868.32
  5. Step 5: Solve for x
    x = 338,269,437,868.32/638,522.02
  6. Step 6: Final answer
    x = 529,769.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.