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Finding the Fourth Proportional to 391,858.85, 540,771.14 and 219,814.95

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Solution

The fourth proportional to 391,858.85, 540,771.14 and 219,814.95 is: 303,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,858.85 : 540,771.14 = 219,814.95 : x
  2. Step 2: Convert to fraction form
    391,858.85/540,771.14 = 219,814.95/x
  3. Step 3: Cross multiply
    391,858.85x = 540,771.14 × 219,814.95
  4. Step 4: Simplify right side
    391,858.85x = 118,869,580,001.47
  5. Step 5: Solve for x
    x = 118,869,580,001.47/391,858.85
  6. Step 6: Final answer
    x = 303,347.96

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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.