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Finding the Fourth Proportional to 291,267.77, 401,923.91 and 162,196.49

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Solution

The fourth proportional to 291,267.77, 401,923.91 and 162,196.49 is: 223,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,267.77 : 401,923.91 = 162,196.49 : x
  2. Step 2: Convert to fraction form
    291,267.77/401,923.91 = 162,196.49/x
  3. Step 3: Cross multiply
    291,267.77x = 401,923.91 × 162,196.49
  4. Step 4: Simplify right side
    291,267.77x = 65,190,644,628.47
  5. Step 5: Solve for x
    x = 65,190,644,628.47/291,267.77
  6. Step 6: Final answer
    x = 223,816.89

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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.