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Finding the Fourth Proportional to 389,853, 537,998.76 and 211,005

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Solution

The fourth proportional to 389,853, 537,998.76 and 211,005 is: 291,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,853 : 537,998.76 = 211,005 : x
  2. Step 2: Convert to fraction form
    389,853/537,998.76 = 211,005/x
  3. Step 3: Cross multiply
    389,853x = 537,998.76 × 211,005
  4. Step 4: Simplify right side
    389,853x = 113,520,428,353.80
  5. Step 5: Solve for x
    x = 113,520,428,353.80/389,853
  6. Step 6: Final answer
    x = 291,187.78

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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.