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Finding the Fourth Proportional to 291,944.69, 402,878.30 and 164,620.38

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Solution

The fourth proportional to 291,944.69, 402,878.30 and 164,620.38 is: 227,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,944.69 : 402,878.30 = 164,620.38 : x
  2. Step 2: Convert to fraction form
    291,944.69/402,878.30 = 164,620.38/x
  3. Step 3: Cross multiply
    291,944.69x = 402,878.30 × 164,620.38
  4. Step 4: Simplify right side
    291,944.69x = 66,321,978,016.65
  5. Step 5: Solve for x
    x = 66,321,978,016.65/291,944.69
  6. Step 6: Final answer
    x = 227,173.10

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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.