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Finding the Fourth Proportional to 312,429.44, 431,160 and 178,305.92

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Solution

The fourth proportional to 312,429.44, 431,160 and 178,305.92 is: 246,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,429.44 : 431,160 = 178,305.92 : x
  2. Step 2: Convert to fraction form
    312,429.44/431,160 = 178,305.92/x
  3. Step 3: Cross multiply
    312,429.44x = 431,160 × 178,305.92
  4. Step 4: Simplify right side
    312,429.44x = 76,878,380,467.20
  5. Step 5: Solve for x
    x = 76,878,380,467.20/312,429.44
  6. Step 6: Final answer
    x = 246,066.38

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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.