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Finding the Fourth Proportional to 286,179.65, 394,908.16 and 158,845.22

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Solution

The fourth proportional to 286,179.65, 394,908.16 and 158,845.22 is: 219,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,179.65 : 394,908.16 = 158,845.22 : x
  2. Step 2: Convert to fraction form
    286,179.65/394,908.16 = 158,845.22/x
  3. Step 3: Cross multiply
    286,179.65x = 394,908.16 × 158,845.22
  4. Step 4: Simplify right side
    286,179.65x = 62,729,272,962.08
  5. Step 5: Solve for x
    x = 62,729,272,962.08/286,179.65
  6. Step 6: Final answer
    x = 219,195.44

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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.