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Finding the Fourth Proportional to 285,809.06, 428,802.82 and 172,081.54

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Solution

The fourth proportional to 285,809.06, 428,802.82 and 172,081.54 is: 258,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,809.06 : 428,802.82 = 172,081.54 : x
  2. Step 2: Convert to fraction form
    285,809.06/428,802.82 = 172,081.54/x
  3. Step 3: Cross multiply
    285,809.06x = 428,802.82 × 172,081.54
  4. Step 4: Simplify right side
    285,809.06x = 73,789,049,621.94
  5. Step 5: Solve for x
    x = 73,789,049,621.94/285,809.06
  6. Step 6: Final answer
    x = 258,176.03

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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.