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Finding the Fourth Proportional to 280,103.60, 386,575.66 and 159,263

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Solution

The fourth proportional to 280,103.60, 386,575.66 and 159,263 is: 219,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103.60 : 386,575.66 = 159,263 : x
  2. Step 2: Convert to fraction form
    280,103.60/386,575.66 = 159,263/x
  3. Step 3: Cross multiply
    280,103.60x = 386,575.66 × 159,263
  4. Step 4: Simplify right side
    280,103.60x = 61,567,199,338.58
  5. Step 5: Solve for x
    x = 61,567,199,338.58/280,103.60
  6. Step 6: Final answer
    x = 219,801.53

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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.