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Finding the Fourth Proportional to 416,520.80, 623,906.40 and 229,313.60

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Solution

The fourth proportional to 416,520.80, 623,906.40 and 229,313.60 is: 343,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,520.80 : 623,906.40 = 229,313.60 : x
  2. Step 2: Convert to fraction form
    416,520.80/623,906.40 = 229,313.60/x
  3. Step 3: Cross multiply
    416,520.80x = 623,906.40 × 229,313.60
  4. Step 4: Simplify right side
    416,520.80x = 143,070,222,647.04
  5. Step 5: Solve for x
    x = 143,070,222,647.04/416,520.80
  6. Step 6: Final answer
    x = 343,488.78

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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.