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Finding the Fourth Proportional to 319,536.80, 479,185.60 and 137,144.58

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Solution

The fourth proportional to 319,536.80, 479,185.60 and 137,144.58 is: 205,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,536.80 : 479,185.60 = 137,144.58 : x
  2. Step 2: Convert to fraction form
    319,536.80/479,185.60 = 137,144.58/x
  3. Step 3: Cross multiply
    319,536.80x = 479,185.60 × 137,144.58
  4. Step 4: Simplify right side
    319,536.80x = 65,717,708,152.51
  5. Step 5: Solve for x
    x = 65,717,708,152.51/319,536.80
  6. Step 6: Final answer
    x = 205,665.54

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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.