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Finding the Fourth Proportional to 285,806.06, 428,798.32 and 172,078.54

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Solution

The fourth proportional to 285,806.06, 428,798.32 and 172,078.54 is: 258,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,806.06 : 428,798.32 = 172,078.54 : x
  2. Step 2: Convert to fraction form
    285,806.06/428,798.32 = 172,078.54/x
  3. Step 3: Cross multiply
    285,806.06x = 428,798.32 × 172,078.54
  4. Step 4: Simplify right side
    285,806.06x = 73,786,988,860.05
  5. Step 5: Solve for x
    x = 73,786,988,860.05/285,806.06
  6. Step 6: Final answer
    x = 258,171.53

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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.