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Finding the Fourth Proportional to 412,525.82, 618,965.20 and 172,695.76

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Solution

The fourth proportional to 412,525.82, 618,965.20 and 172,695.76 is: 259,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,525.82 : 618,965.20 = 172,695.76 : x
  2. Step 2: Convert to fraction form
    412,525.82/618,965.20 = 172,695.76/x
  3. Step 3: Cross multiply
    412,525.82x = 618,965.20 × 172,695.76
  4. Step 4: Simplify right side
    412,525.82x = 106,892,665,627.55
  5. Step 5: Solve for x
    x = 106,892,665,627.55/412,525.82
  6. Step 6: Final answer
    x = 259,117.52

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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.