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Finding the Fourth Proportional to 285,953.64, 428,791.50 and 86,236.80

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Solution

The fourth proportional to 285,953.64, 428,791.50 and 86,236.80 is: 129,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,953.64 : 428,791.50 = 86,236.80 : x
  2. Step 2: Convert to fraction form
    285,953.64/428,791.50 = 86,236.80/x
  3. Step 3: Cross multiply
    285,953.64x = 428,791.50 × 86,236.80
  4. Step 4: Simplify right side
    285,953.64x = 36,977,606,827.20
  5. Step 5: Solve for x
    x = 36,977,606,827.20/285,953.64
  6. Step 6: Final answer
    x = 129,313.29

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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.