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Finding the Fourth Proportional to 512,991.97, 769,526.63 and 153,134.42

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Solution

The fourth proportional to 512,991.97, 769,526.63 and 153,134.42 is: 229,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,991.97 : 769,526.63 = 153,134.42 : x
  2. Step 2: Convert to fraction form
    512,991.97/769,526.63 = 153,134.42/x
  3. Step 3: Cross multiply
    512,991.97x = 769,526.63 × 153,134.42
  4. Step 4: Simplify right side
    512,991.97x = 117,841,010,120.55
  5. Step 5: Solve for x
    x = 117,841,010,120.55/512,991.97
  6. Step 6: Final answer
    x = 229,713.17

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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.