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Finding the Fourth Proportional to 257,667.12, 386,512.80 and 212,604.87

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Solution

The fourth proportional to 257,667.12, 386,512.80 and 212,604.87 is: 318,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,667.12 : 386,512.80 = 212,604.87 : x
  2. Step 2: Convert to fraction form
    257,667.12/386,512.80 = 212,604.87/x
  3. Step 3: Cross multiply
    257,667.12x = 386,512.80 × 212,604.87
  4. Step 4: Simplify right side
    257,667.12x = 82,174,503,597.34
  5. Step 5: Solve for x
    x = 82,174,503,597.34/257,667.12
  6. Step 6: Final answer
    x = 318,917.31

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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.