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Finding the Fourth Proportional to 312,460.44, 431,164.56 and 174,613.92

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Solution

The fourth proportional to 312,460.44, 431,164.56 and 174,613.92 is: 240,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,460.44 : 431,164.56 = 174,613.92 : x
  2. Step 2: Convert to fraction form
    312,460.44/431,164.56 = 174,613.92/x
  3. Step 3: Cross multiply
    312,460.44x = 431,164.56 × 174,613.92
  4. Step 4: Simplify right side
    312,460.44x = 75,287,333,986.68
  5. Step 5: Solve for x
    x = 75,287,333,986.68/312,460.44
  6. Step 6: Final answer
    x = 240,949.97

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1.5x scale

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.