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Finding the Fourth Proportional to 312,076.86, 430,467.39 and 204,653.58

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Solution

The fourth proportional to 312,076.86, 430,467.39 and 204,653.58 is: 282,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.86 : 430,467.39 = 204,653.58 : x
  2. Step 2: Convert to fraction form
    312,076.86/430,467.39 = 204,653.58/x
  3. Step 3: Cross multiply
    312,076.86x = 430,467.39 × 204,653.58
  4. Step 4: Simplify right side
    312,076.86x = 88,096,692,436.76
  5. Step 5: Solve for x
    x = 88,096,692,436.76/312,076.86
  6. Step 6: Final answer
    x = 282,291.65

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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.