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Finding the Fourth Proportional to 388,714.18, 536,242.20 and 227,469.40

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Solution

The fourth proportional to 388,714.18, 536,242.20 and 227,469.40 is: 313,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,714.18 : 536,242.20 = 227,469.40 : x
  2. Step 2: Convert to fraction form
    388,714.18/536,242.20 = 227,469.40/x
  3. Step 3: Cross multiply
    388,714.18x = 536,242.20 × 227,469.40
  4. Step 4: Simplify right side
    388,714.18x = 121,978,691,488.68
  5. Step 5: Solve for x
    x = 121,978,691,488.68/388,714.18
  6. Step 6: Final answer
    x = 313,800.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.