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Finding the Fourth Proportional to 287,251.10, 430,933.37 and 84,850.64

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Solution

The fourth proportional to 287,251.10, 430,933.37 and 84,850.64 is: 127,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,251.10 : 430,933.37 = 84,850.64 : x
  2. Step 2: Convert to fraction form
    287,251.10/430,933.37 = 84,850.64/x
  3. Step 3: Cross multiply
    287,251.10x = 430,933.37 × 84,850.64
  4. Step 4: Simplify right side
    287,251.10x = 36,564,969,662.94
  5. Step 5: Solve for x
    x = 36,564,969,662.94/287,251.10
  6. Step 6: Final answer
    x = 127,292.71

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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.