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Finding the Fourth Proportional to 285,954.80, 428,935.30 and 86,276.96

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Solution

The fourth proportional to 285,954.80, 428,935.30 and 86,276.96 is: 129,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.80 : 428,935.30 = 86,276.96 : x
  2. Step 2: Convert to fraction form
    285,954.80/428,935.30 = 86,276.96/x
  3. Step 3: Cross multiply
    285,954.80x = 428,935.30 × 86,276.96
  4. Step 4: Simplify right side
    285,954.80x = 37,007,233,720.69
  5. Step 5: Solve for x
    x = 37,007,233,720.69/285,954.80
  6. Step 6: Final answer
    x = 129,416.38

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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.