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Finding the Fourth Proportional to 381,471.16, 572,206.74 and 203,438.80

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Solution

The fourth proportional to 381,471.16, 572,206.74 and 203,438.80 is: 305,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,471.16 : 572,206.74 = 203,438.80 : x
  2. Step 2: Convert to fraction form
    381,471.16/572,206.74 = 203,438.80/x
  3. Step 3: Cross multiply
    381,471.16x = 572,206.74 × 203,438.80
  4. Step 4: Simplify right side
    381,471.16x = 116,409,052,537.51
  5. Step 5: Solve for x
    x = 116,409,052,537.51/381,471.16
  6. Step 6: Final answer
    x = 305,158.20

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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.