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Finding the Fourth Proportional to 312,863.54, 431,725.10 and 176,878.62

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Solution

The fourth proportional to 312,863.54, 431,725.10 and 176,878.62 is: 244,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,863.54 : 431,725.10 = 176,878.62 : x
  2. Step 2: Convert to fraction form
    312,863.54/431,725.10 = 176,878.62/x
  3. Step 3: Cross multiply
    312,863.54x = 431,725.10 × 176,878.62
  4. Step 4: Simplify right side
    312,863.54x = 76,362,939,022.97
  5. Step 5: Solve for x
    x = 76,362,939,022.97/312,863.54
  6. Step 6: Final answer
    x = 244,077.47

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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.