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Finding the Fourth Proportional to 511,375.68, 705,144.60 and 348,138

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Solution

The fourth proportional to 511,375.68, 705,144.60 and 348,138 is: 480,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,375.68 : 705,144.60 = 348,138 : x
  2. Step 2: Convert to fraction form
    511,375.68/705,144.60 = 348,138/x
  3. Step 3: Cross multiply
    511,375.68x = 705,144.60 × 348,138
  4. Step 4: Simplify right side
    511,375.68x = 245,487,630,754.80
  5. Step 5: Solve for x
    x = 245,487,630,754.80/511,375.68
  6. Step 6: Final answer
    x = 480,053.39

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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.