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Finding the Fourth Proportional to 280,647.21, 420,676.77 and 130,763.91

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Solution

The fourth proportional to 280,647.21, 420,676.77 and 130,763.91 is: 196,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,647.21 : 420,676.77 = 130,763.91 : x
  2. Step 2: Convert to fraction form
    280,647.21/420,676.77 = 130,763.91/x
  3. Step 3: Cross multiply
    280,647.21x = 420,676.77 × 130,763.91
  4. Step 4: Simplify right side
    280,647.21x = 55,009,339,291.37
  5. Step 5: Solve for x
    x = 55,009,339,291.37/280,647.21
  6. Step 6: Final answer
    x = 196,008.86

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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.