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Finding the Fourth Proportional to 257,599.72, 386,282.46 and 80,053.48

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Solution

The fourth proportional to 257,599.72, 386,282.46 and 80,053.48 is: 120,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,599.72 : 386,282.46 = 80,053.48 : x
  2. Step 2: Convert to fraction form
    257,599.72/386,282.46 = 80,053.48/x
  3. Step 3: Cross multiply
    257,599.72x = 386,282.46 × 80,053.48
  4. Step 4: Simplify right side
    257,599.72x = 30,923,255,185.96
  5. Step 5: Solve for x
    x = 30,923,255,185.96/257,599.72
  6. Step 6: Final answer
    x = 120,043.82

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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.