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Finding the Fourth Proportional to 512,986.52, 769,518.43 and 153,128.94

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Solution

The fourth proportional to 512,986.52, 769,518.43 and 153,128.94 is: 229,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,986.52 : 769,518.43 = 153,128.94 : x
  2. Step 2: Convert to fraction form
    512,986.52/769,518.43 = 153,128.94/x
  3. Step 3: Cross multiply
    512,986.52x = 769,518.43 × 153,128.94
  4. Step 4: Simplify right side
    512,986.52x = 117,835,541,496.36
  5. Step 5: Solve for x
    x = 117,835,541,496.36/512,986.52
  6. Step 6: Final answer
    x = 229,704.95

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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.