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Finding the Fourth Proportional to 380,107.84, 569,993.28 and 202,581.76

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Solution

The fourth proportional to 380,107.84, 569,993.28 and 202,581.76 is: 303,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,107.84 : 569,993.28 = 202,581.76 : x
  2. Step 2: Convert to fraction form
    380,107.84/569,993.28 = 202,581.76/x
  3. Step 3: Cross multiply
    380,107.84x = 569,993.28 × 202,581.76
  4. Step 4: Simplify right side
    380,107.84x = 115,470,241,850.57
  5. Step 5: Solve for x
    x = 115,470,241,850.57/380,107.84
  6. Step 6: Final answer
    x = 303,782.85

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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.