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Finding the Fourth Proportional to 243,114.80, 364,513.80 and 218,231.60

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Solution

The fourth proportional to 243,114.80, 364,513.80 and 218,231.60 is: 327,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,114.80 : 364,513.80 = 218,231.60 : x
  2. Step 2: Convert to fraction form
    243,114.80/364,513.80 = 218,231.60/x
  3. Step 3: Cross multiply
    243,114.80x = 364,513.80 × 218,231.60
  4. Step 4: Simplify right side
    243,114.80x = 79,548,429,796.08
  5. Step 5: Solve for x
    x = 79,548,429,796.08/243,114.80
  6. Step 6: Final answer
    x = 327,205.21

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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.