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Finding the Fourth Proportional to 398,714.58, 597,969.18 and 118,166.22

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Solution

The fourth proportional to 398,714.58, 597,969.18 and 118,166.22 is: 177,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,714.58 : 597,969.18 = 118,166.22 : x
  2. Step 2: Convert to fraction form
    398,714.58/597,969.18 = 118,166.22/x
  3. Step 3: Cross multiply
    398,714.58x = 597,969.18 × 118,166.22
  4. Step 4: Simplify right side
    398,714.58x = 70,659,757,677.10
  5. Step 5: Solve for x
    x = 70,659,757,677.10/398,714.58
  6. Step 6: Final answer
    x = 177,218.90

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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.