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Finding the Fourth Proportional to 487,481.06, 731,072.60 and 171,864.16

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Solution

The fourth proportional to 487,481.06, 731,072.60 and 171,864.16 is: 257,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,481.06 : 731,072.60 = 171,864.16 : x
  2. Step 2: Convert to fraction form
    487,481.06/731,072.60 = 171,864.16/x
  3. Step 3: Cross multiply
    487,481.06x = 731,072.60 × 171,864.16
  4. Step 4: Simplify right side
    487,481.06x = 125,645,174,642.65
  5. Step 5: Solve for x
    x = 125,645,174,642.65/487,481.06
  6. Step 6: Final answer
    x = 257,743.71

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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.