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Finding the Fourth Proportional to 512,434, 769,117.44 and 272,749.12

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Solution

The fourth proportional to 512,434, 769,117.44 and 272,749.12 is: 409,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,434 : 769,117.44 = 272,749.12 : x
  2. Step 2: Convert to fraction form
    512,434/769,117.44 = 272,749.12/x
  3. Step 3: Cross multiply
    512,434x = 769,117.44 × 272,749.12
  4. Step 4: Simplify right side
    512,434x = 209,776,104,936.65
  5. Step 5: Solve for x
    x = 209,776,104,936.65/512,434
  6. Step 6: Final answer
    x = 409,371.95

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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.