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Finding the Fourth Proportional to 301,761.42, 416,429.10 and 163,939.20

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Solution

The fourth proportional to 301,761.42, 416,429.10 and 163,939.20 is: 226,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,761.42 : 416,429.10 = 163,939.20 : x
  2. Step 2: Convert to fraction form
    301,761.42/416,429.10 = 163,939.20/x
  3. Step 3: Cross multiply
    301,761.42x = 416,429.10 × 163,939.20
  4. Step 4: Simplify right side
    301,761.42x = 68,269,053,510.72
  5. Step 5: Solve for x
    x = 68,269,053,510.72/301,761.42
  6. Step 6: Final answer
    x = 226,235.19

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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.