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Finding the Fourth Proportional to 262,420.80, 393,669.60 and 137,771.20

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Solution

The fourth proportional to 262,420.80, 393,669.60 and 137,771.20 is: 206,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,420.80 : 393,669.60 = 137,771.20 : x
  2. Step 2: Convert to fraction form
    262,420.80/393,669.60 = 137,771.20/x
  3. Step 3: Cross multiply
    262,420.80x = 393,669.60 × 137,771.20
  4. Step 4: Simplify right side
    262,420.80x = 54,236,333,195.52
  5. Step 5: Solve for x
    x = 54,236,333,195.52/262,420.80
  6. Step 6: Final answer
    x = 206,676.96

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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.