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Finding the Fourth Proportional to 412,850.60, 619,391.10 and 202,495.40

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Solution

The fourth proportional to 412,850.60, 619,391.10 and 202,495.40 is: 303,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,850.60 : 619,391.10 = 202,495.40 : x
  2. Step 2: Convert to fraction form
    412,850.60/619,391.10 = 202,495.40/x
  3. Step 3: Cross multiply
    412,850.60x = 619,391.10 × 202,495.40
  4. Step 4: Simplify right side
    412,850.60x = 125,423,848,550.94
  5. Step 5: Solve for x
    x = 125,423,848,550.94/412,850.60
  6. Step 6: Final answer
    x = 303,799.60

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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.