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Finding the Fourth Proportional to 496,724.72, 685,574.60 and 281,884.80

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Solution

The fourth proportional to 496,724.72, 685,574.60 and 281,884.80 is: 389,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,724.72 : 685,574.60 = 281,884.80 : x
  2. Step 2: Convert to fraction form
    496,724.72/685,574.60 = 281,884.80/x
  3. Step 3: Cross multiply
    496,724.72x = 685,574.60 × 281,884.80
  4. Step 4: Simplify right side
    496,724.72x = 193,253,059,006.08
  5. Step 5: Solve for x
    x = 193,253,059,006.08/496,724.72
  6. Step 6: Final answer
    x = 389,054.64

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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.