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Finding the Fourth Proportional to 380,418.77, 524,993.74 and 210,652.90

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Solution

The fourth proportional to 380,418.77, 524,993.74 and 210,652.90 is: 290,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.77 : 524,993.74 = 210,652.90 : x
  2. Step 2: Convert to fraction form
    380,418.77/524,993.74 = 210,652.90/x
  3. Step 3: Cross multiply
    380,418.77x = 524,993.74 × 210,652.90
  4. Step 4: Simplify right side
    380,418.77x = 110,591,451,973.73
  5. Step 5: Solve for x
    x = 110,591,451,973.73/380,418.77
  6. Step 6: Final answer
    x = 290,709.77

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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.