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Finding the Fourth Proportional to 391,804.60, 588,959.70 and 364,070.20

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Solution

The fourth proportional to 391,804.60, 588,959.70 and 364,070.20 is: 547,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,804.60 : 588,959.70 = 364,070.20 : x
  2. Step 2: Convert to fraction form
    391,804.60/588,959.70 = 364,070.20/x
  3. Step 3: Cross multiply
    391,804.60x = 588,959.70 × 364,070.20
  4. Step 4: Simplify right side
    391,804.60x = 214,422,675,770.94
  5. Step 5: Solve for x
    x = 214,422,675,770.94/391,804.60
  6. Step 6: Final answer
    x = 547,269.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.