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Finding the Fourth Proportional to 285,826.32, 428,676.91 and 117,180.68

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Solution

The fourth proportional to 285,826.32, 428,676.91 and 117,180.68 is: 175,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,826.32 : 428,676.91 = 117,180.68 : x
  2. Step 2: Convert to fraction form
    285,826.32/428,676.91 = 117,180.68/x
  3. Step 3: Cross multiply
    285,826.32x = 428,676.91 × 117,180.68
  4. Step 4: Simplify right side
    285,826.32x = 50,232,649,377.76
  5. Step 5: Solve for x
    x = 50,232,649,377.76/285,826.32
  6. Step 6: Final answer
    x = 175,745.36

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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.