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Finding the Fourth Proportional to 312,497.25, 431,272.72 and 176,556.16

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Solution

The fourth proportional to 312,497.25, 431,272.72 and 176,556.16 is: 243,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,497.25 : 431,272.72 = 176,556.16 : x
  2. Step 2: Convert to fraction form
    312,497.25/431,272.72 = 176,556.16/x
  3. Step 3: Cross multiply
    312,497.25x = 431,272.72 × 176,556.16
  4. Step 4: Simplify right side
    312,497.25x = 76,143,855,355.96
  5. Step 5: Solve for x
    x = 76,143,855,355.96/312,497.25
  6. Step 6: Final answer
    x = 243,662.48

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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.