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Finding the Fourth Proportional to 499,262.26, 749,080.47 and 259,226.32

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Solution

The fourth proportional to 499,262.26, 749,080.47 and 259,226.32 is: 388,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,262.26 : 749,080.47 = 259,226.32 : x
  2. Step 2: Convert to fraction form
    499,262.26/749,080.47 = 259,226.32/x
  3. Step 3: Cross multiply
    499,262.26x = 749,080.47 × 259,226.32
  4. Step 4: Simplify right side
    499,262.26x = 194,181,373,621.97
  5. Step 5: Solve for x
    x = 194,181,373,621.97/499,262.26
  6. Step 6: Final answer
    x = 388,936.62

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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.