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Finding the Fourth Proportional to 391,198.40, 586,578.90 and 180,575.72

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Solution

The fourth proportional to 391,198.40, 586,578.90 and 180,575.72 is: 270,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,198.40 : 586,578.90 = 180,575.72 : x
  2. Step 2: Convert to fraction form
    391,198.40/586,578.90 = 180,575.72/x
  3. Step 3: Cross multiply
    391,198.40x = 586,578.90 × 180,575.72
  4. Step 4: Simplify right side
    391,198.40x = 105,921,907,204.31
  5. Step 5: Solve for x
    x = 105,921,907,204.31/391,198.40
  6. Step 6: Final answer
    x = 270,762.63

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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.