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Finding the Fourth Proportional to 419,336.44, 578,678.56 and 238,046.78

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Solution

The fourth proportional to 419,336.44, 578,678.56 and 238,046.78 is: 328,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,336.44 : 578,678.56 = 238,046.78 : x
  2. Step 2: Convert to fraction form
    419,336.44/578,678.56 = 238,046.78/x
  3. Step 3: Cross multiply
    419,336.44x = 578,678.56 × 238,046.78
  4. Step 4: Simplify right side
    419,336.44x = 137,752,567,863.04
  5. Step 5: Solve for x
    x = 137,752,567,863.04/419,336.44
  6. Step 6: Final answer
    x = 328,501.31

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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.