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Finding the Fourth Proportional to 286,046.52, 428,903.62 and 108,456.65

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Solution

The fourth proportional to 286,046.52, 428,903.62 and 108,456.65 is: 162,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,046.52 : 428,903.62 = 108,456.65 : x
  2. Step 2: Convert to fraction form
    286,046.52/428,903.62 = 108,456.65/x
  3. Step 3: Cross multiply
    286,046.52x = 428,903.62 × 108,456.65
  4. Step 4: Simplify right side
    286,046.52x = 46,517,449,798.07
  5. Step 5: Solve for x
    x = 46,517,449,798.07/286,046.52
  6. Step 6: Final answer
    x = 162,621.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.