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Finding the Fourth Proportional to 399,142.76, 598,714.14 and 118,659.56

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Solution

The fourth proportional to 399,142.76, 598,714.14 and 118,659.56 is: 177,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,142.76 : 598,714.14 = 118,659.56 : x
  2. Step 2: Convert to fraction form
    399,142.76/598,714.14 = 118,659.56/x
  3. Step 3: Cross multiply
    399,142.76x = 598,714.14 × 118,659.56
  4. Step 4: Simplify right side
    399,142.76x = 71,043,156,418.18
  5. Step 5: Solve for x
    x = 71,043,156,418.18/399,142.76
  6. Step 6: Final answer
    x = 177,989.34

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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.