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Finding the Fourth Proportional to 391,057, 539,658.66 and 212,209

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Solution

The fourth proportional to 391,057, 539,658.66 and 212,209 is: 292,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,057 : 539,658.66 = 212,209 : x
  2. Step 2: Convert to fraction form
    391,057/539,658.66 = 212,209/x
  3. Step 3: Cross multiply
    391,057x = 539,658.66 × 212,209
  4. Step 4: Simplify right side
    391,057x = 114,520,424,579.94
  5. Step 5: Solve for x
    x = 114,520,424,579.94/391,057
  6. Step 6: Final answer
    x = 292,848.42

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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.