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Finding the Fourth Proportional to 259,462.80, 389,165.40 and 72,493.20

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Solution

The fourth proportional to 259,462.80, 389,165.40 and 72,493.20 is: 108,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,462.80 : 389,165.40 = 72,493.20 : x
  2. Step 2: Convert to fraction form
    259,462.80/389,165.40 = 72,493.20/x
  3. Step 3: Cross multiply
    259,462.80x = 389,165.40 × 72,493.20
  4. Step 4: Simplify right side
    259,462.80x = 28,211,845,175.28
  5. Step 5: Solve for x
    x = 28,211,845,175.28/259,462.80
  6. Step 6: Final answer
    x = 108,731.75

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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.