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Finding the Fourth Proportional to 380,201, 571,039.62 and 279,965.32

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Solution

The fourth proportional to 380,201, 571,039.62 and 279,965.32 is: 420,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,201 : 571,039.62 = 279,965.32 : x
  2. Step 2: Convert to fraction form
    380,201/571,039.62 = 279,965.32/x
  3. Step 3: Cross multiply
    380,201x = 571,039.62 × 279,965.32
  4. Step 4: Simplify right side
    380,201x = 159,871,289,945.98
  5. Step 5: Solve for x
    x = 159,871,289,945.98/380,201
  6. Step 6: Final answer
    x = 420,491.50

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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.