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Finding the Fourth Proportional to 386,214.64, 579,481.88 and 208,512.70

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Solution

The fourth proportional to 386,214.64, 579,481.88 and 208,512.70 is: 312,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,214.64 : 579,481.88 = 208,512.70 : x
  2. Step 2: Convert to fraction form
    386,214.64/579,481.88 = 208,512.70/x
  3. Step 3: Cross multiply
    386,214.64x = 579,481.88 × 208,512.70
  4. Step 4: Simplify right side
    386,214.64x = 120,829,331,399.88
  5. Step 5: Solve for x
    x = 120,829,331,399.88/386,214.64
  6. Step 6: Final answer
    x = 312,855.39

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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.