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Finding the Fourth Proportional to 664,720.82, 917,309.94 and 362,914.82

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Solution

The fourth proportional to 664,720.82, 917,309.94 and 362,914.82 is: 500,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,720.82 : 917,309.94 = 362,914.82 : x
  2. Step 2: Convert to fraction form
    664,720.82/917,309.94 = 362,914.82/x
  3. Step 3: Cross multiply
    664,720.82x = 917,309.94 × 362,914.82
  4. Step 4: Simplify right side
    664,720.82x = 332,905,371,759.31
  5. Step 5: Solve for x
    x = 332,905,371,759.31/664,720.82
  6. Step 6: Final answer
    x = 500,819.84

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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.