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Finding the Fourth Proportional to 257,069.20, 386,064.60 and 187,027.60

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Solution

The fourth proportional to 257,069.20, 386,064.60 and 187,027.60 is: 280,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.20 : 386,064.60 = 187,027.60 : x
  2. Step 2: Convert to fraction form
    257,069.20/386,064.60 = 187,027.60/x
  3. Step 3: Cross multiply
    257,069.20x = 386,064.60 × 187,027.60
  4. Step 4: Simplify right side
    257,069.20x = 72,204,735,582.96
  5. Step 5: Solve for x
    x = 72,204,735,582.96/257,069.20
  6. Step 6: Final answer
    x = 280,876.65

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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.