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Finding the Fourth Proportional to 388,414.64, 536,022.12 and 218,654.72

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Solution

The fourth proportional to 388,414.64, 536,022.12 and 218,654.72 is: 301,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,414.64 : 536,022.12 = 218,654.72 : x
  2. Step 2: Convert to fraction form
    388,414.64/536,022.12 = 218,654.72/x
  3. Step 3: Cross multiply
    388,414.64x = 536,022.12 × 218,654.72
  4. Step 4: Simplify right side
    388,414.64x = 117,203,766,562.41
  5. Step 5: Solve for x
    x = 117,203,766,562.41/388,414.64
  6. Step 6: Final answer
    x = 301,749.10

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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.