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Finding the Fourth Proportional to 342,081.54, 512,904.96 and 300,046.05

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Solution

The fourth proportional to 342,081.54, 512,904.96 and 300,046.05 is: 449,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,081.54 : 512,904.96 = 300,046.05 : x
  2. Step 2: Convert to fraction form
    342,081.54/512,904.96 = 300,046.05/x
  3. Step 3: Cross multiply
    342,081.54x = 512,904.96 × 300,046.05
  4. Step 4: Simplify right side
    342,081.54x = 153,895,107,273.41
  5. Step 5: Solve for x
    x = 153,895,107,273.41/342,081.54
  6. Step 6: Final answer
    x = 449,878.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.