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Finding the Fourth Proportional to 291,106.47, 401,723.75 and 162,044.31

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Solution

The fourth proportional to 291,106.47, 401,723.75 and 162,044.31 is: 223,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,106.47 : 401,723.75 = 162,044.31 : x
  2. Step 2: Convert to fraction form
    291,106.47/401,723.75 = 162,044.31/x
  3. Step 3: Cross multiply
    291,106.47x = 401,723.75 × 162,044.31
  4. Step 4: Simplify right side
    291,106.47x = 65,097,047,879.36
  5. Step 5: Solve for x
    x = 65,097,047,879.36/291,106.47
  6. Step 6: Final answer
    x = 223,619.38

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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.