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Finding the Fourth Proportional to 412,671.92, 569,735.64 and 269,671.28

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Solution

The fourth proportional to 412,671.92, 569,735.64 and 269,671.28 is: 372,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,671.92 : 569,735.64 = 269,671.28 : x
  2. Step 2: Convert to fraction form
    412,671.92/569,735.64 = 269,671.28/x
  3. Step 3: Cross multiply
    412,671.92x = 569,735.64 × 269,671.28
  4. Step 4: Simplify right side
    412,671.92x = 153,641,339,300.42
  5. Step 5: Solve for x
    x = 153,641,339,300.42/412,671.92
  6. Step 6: Final answer
    x = 372,308.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.