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Finding the Fourth Proportional to 257,230.55, 354,978.44 and 144,053.30

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Solution

The fourth proportional to 257,230.55, 354,978.44 and 144,053.30 is: 198,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,230.55 : 354,978.44 = 144,053.30 : x
  2. Step 2: Convert to fraction form
    257,230.55/354,978.44 = 144,053.30/x
  3. Step 3: Cross multiply
    257,230.55x = 354,978.44 × 144,053.30
  4. Step 4: Simplify right side
    257,230.55x = 51,135,815,710.85
  5. Step 5: Solve for x
    x = 51,135,815,710.85/257,230.55
  6. Step 6: Final answer
    x = 198,793.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.