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Finding the Fourth Proportional to 287,634.45, 430,959.60 and 182,330.40

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Solution

The fourth proportional to 287,634.45, 430,959.60 and 182,330.40 is: 273,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,634.45 : 430,959.60 = 182,330.40 : x
  2. Step 2: Convert to fraction form
    287,634.45/430,959.60 = 182,330.40/x
  3. Step 3: Cross multiply
    287,634.45x = 430,959.60 × 182,330.40
  4. Step 4: Simplify right side
    287,634.45x = 78,577,036,251.84
  5. Step 5: Solve for x
    x = 78,577,036,251.84/287,634.45
  6. Step 6: Final answer
    x = 273,183.68

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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.