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Finding the Fourth Proportional to 512,072.76, 706,435.38 and 488,355.96

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Solution

The fourth proportional to 512,072.76, 706,435.38 and 488,355.96 is: 673,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,072.76 : 706,435.38 = 488,355.96 : x
  2. Step 2: Convert to fraction form
    512,072.76/706,435.38 = 488,355.96/x
  3. Step 3: Cross multiply
    512,072.76x = 706,435.38 × 488,355.96
  4. Step 4: Simplify right side
    512,072.76x = 344,991,928,177.87
  5. Step 5: Solve for x
    x = 344,991,928,177.87/512,072.76
  6. Step 6: Final answer
    x = 673,716.62

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1.5x scale

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.