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Finding the Fourth Proportional to 391,076.86, 539,686.07 and 212,228.86

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Solution

The fourth proportional to 391,076.86, 539,686.07 and 212,228.86 is: 292,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,076.86 : 539,686.07 = 212,228.86 : x
  2. Step 2: Convert to fraction form
    391,076.86/539,686.07 = 212,228.86/x
  3. Step 3: Cross multiply
    391,076.86x = 539,686.07 × 212,228.86
  4. Step 4: Simplify right side
    391,076.86x = 114,536,958,194.50
  5. Step 5: Solve for x
    x = 114,536,958,194.50/391,076.86
  6. Step 6: Final answer
    x = 292,875.83

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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.