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Finding the Fourth Proportional to 319,841.94, 479,765.14 and 219,698.60

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Solution

The fourth proportional to 319,841.94, 479,765.14 and 219,698.60 is: 329,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,841.94 : 479,765.14 = 219,698.60 : x
  2. Step 2: Convert to fraction form
    319,841.94/479,765.14 = 219,698.60/x
  3. Step 3: Cross multiply
    319,841.94x = 479,765.14 × 219,698.60
  4. Step 4: Simplify right side
    319,841.94x = 105,403,730,236.97
  5. Step 5: Solve for x
    x = 105,403,730,236.97/319,841.94
  6. Step 6: Final answer
    x = 329,549.43

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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.