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Finding the Fourth Proportional to 427,238.68, 640,986.48 and 127,729

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Solution

The fourth proportional to 427,238.68, 640,986.48 and 127,729 is: 191,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,238.68 : 640,986.48 = 127,729 : x
  2. Step 2: Convert to fraction form
    427,238.68/640,986.48 = 127,729/x
  3. Step 3: Cross multiply
    427,238.68x = 640,986.48 × 127,729
  4. Step 4: Simplify right side
    427,238.68x = 81,872,562,103.92
  5. Step 5: Solve for x
    x = 81,872,562,103.92/427,238.68
  6. Step 6: Final answer
    x = 191,631.90

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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.