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Finding the Fourth Proportional to 389,910.12, 538,076.16 and 211,062.12

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Solution

The fourth proportional to 389,910.12, 538,076.16 and 211,062.12 is: 291,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,910.12 : 538,076.16 = 211,062.12 : x
  2. Step 2: Convert to fraction form
    389,910.12/538,076.16 = 211,062.12/x
  3. Step 3: Cross multiply
    389,910.12x = 538,076.16 × 211,062.12
  4. Step 4: Simplify right side
    389,910.12x = 113,567,495,051.06
  5. Step 5: Solve for x
    x = 113,567,495,051.06/389,910.12
  6. Step 6: Final answer
    x = 291,265.83

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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.