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Finding the Fourth Proportional to 381,920.54, 572,008.77 and 182,381.49

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Solution

The fourth proportional to 381,920.54, 572,008.77 and 182,381.49 is: 273,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,920.54 : 572,008.77 = 182,381.49 : x
  2. Step 2: Convert to fraction form
    381,920.54/572,008.77 = 182,381.49/x
  3. Step 3: Cross multiply
    381,920.54x = 572,008.77 × 182,381.49
  4. Step 4: Simplify right side
    381,920.54x = 104,323,811,765.67
  5. Step 5: Solve for x
    x = 104,323,811,765.67/381,920.54
  6. Step 6: Final answer
    x = 273,155.81

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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.