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Finding the Fourth Proportional to 391,050, 539,649 and 212,202

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Solution

The fourth proportional to 391,050, 539,649 and 212,202 is: 292,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,050 : 539,649 = 212,202 : x
  2. Step 2: Convert to fraction form
    391,050/539,649 = 212,202/x
  3. Step 3: Cross multiply
    391,050x = 539,649 × 212,202
  4. Step 4: Simplify right side
    391,050x = 114,514,597,098
  5. Step 5: Solve for x
    x = 114,514,597,098/391,050
  6. Step 6: Final answer
    x = 292,838.76

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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.