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Finding the Fourth Proportional to 380,418.66, 524,993.57 and 210,652.78

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Solution

The fourth proportional to 380,418.66, 524,993.57 and 210,652.78 is: 290,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.66 : 524,993.57 = 210,652.78 : x
  2. Step 2: Convert to fraction form
    380,418.66/524,993.57 = 210,652.78/x
  3. Step 3: Cross multiply
    380,418.66x = 524,993.57 × 210,652.78
  4. Step 4: Simplify right side
    380,418.66x = 110,591,355,002.63
  5. Step 5: Solve for x
    x = 110,591,355,002.63/380,418.66
  6. Step 6: Final answer
    x = 290,709.60

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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.