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Finding the Fourth Proportional to 257,994.15, 386,977.56 and 80,480.83

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Solution

The fourth proportional to 257,994.15, 386,977.56 and 80,480.83 is: 120,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,994.15 : 386,977.56 = 80,480.83 : x
  2. Step 2: Convert to fraction form
    257,994.15/386,977.56 = 80,480.83/x
  3. Step 3: Cross multiply
    257,994.15x = 386,977.56 × 80,480.83
  4. Step 4: Simplify right side
    257,994.15x = 31,144,275,703.90
  5. Step 5: Solve for x
    x = 31,144,275,703.90/257,994.15
  6. Step 6: Final answer
    x = 120,716.98

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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.