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Finding the Fourth Proportional to 260,782.80, 391,433.40 and 127,813.20

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Solution

The fourth proportional to 260,782.80, 391,433.40 and 127,813.20 is: 191,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,782.80 : 391,433.40 = 127,813.20 : x
  2. Step 2: Convert to fraction form
    260,782.80/391,433.40 = 127,813.20/x
  3. Step 3: Cross multiply
    260,782.80x = 391,433.40 × 127,813.20
  4. Step 4: Simplify right side
    260,782.80x = 50,030,355,440.88
  5. Step 5: Solve for x
    x = 50,030,355,440.88/260,782.80
  6. Step 6: Final answer
    x = 191,846.84

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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.