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Finding the Fourth Proportional to 388,199.50, 535,723.50 and 218,433.64

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Solution

The fourth proportional to 388,199.50, 535,723.50 and 218,433.64 is: 301,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,199.50 : 535,723.50 = 218,433.64 : x
  2. Step 2: Convert to fraction form
    388,199.50/535,723.50 = 218,433.64/x
  3. Step 3: Cross multiply
    388,199.50x = 535,723.50 × 218,433.64
  4. Step 4: Simplify right side
    388,199.50x = 117,020,034,138.54
  5. Step 5: Solve for x
    x = 117,020,034,138.54/388,199.50
  6. Step 6: Final answer
    x = 301,443.03

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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.