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Finding the Fourth Proportional to 291,029.13, 401,616.09 and 163,704.69

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Solution

The fourth proportional to 291,029.13, 401,616.09 and 163,704.69 is: 225,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,029.13 : 401,616.09 = 163,704.69 : x
  2. Step 2: Convert to fraction form
    291,029.13/401,616.09 = 163,704.69/x
  3. Step 3: Cross multiply
    291,029.13x = 401,616.09 × 163,704.69
  4. Step 4: Simplify right side
    291,029.13x = 65,746,437,512.46
  5. Step 5: Solve for x
    x = 65,746,437,512.46/291,029.13
  6. Step 6: Final answer
    x = 225,910.16

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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.