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Finding the Fourth Proportional to 399,141.76, 598,712.64 and 118,658.56

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Solution

The fourth proportional to 399,141.76, 598,712.64 and 118,658.56 is: 177,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,141.76 : 598,712.64 = 118,658.56 : x
  2. Step 2: Convert to fraction form
    399,141.76/598,712.64 = 118,658.56/x
  3. Step 3: Cross multiply
    399,141.76x = 598,712.64 × 118,658.56
  4. Step 4: Simplify right side
    399,141.76x = 71,042,379,716.20
  5. Step 5: Solve for x
    x = 71,042,379,716.20/399,141.76
  6. Step 6: Final answer
    x = 177,987.84

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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.