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Finding the Fourth Proportional to 542,381.28, 813,493.41 and 379,782.02

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Solution

The fourth proportional to 542,381.28, 813,493.41 and 379,782.02 is: 569,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,381.28 : 813,493.41 = 379,782.02 : x
  2. Step 2: Convert to fraction form
    542,381.28/813,493.41 = 379,782.02/x
  3. Step 3: Cross multiply
    542,381.28x = 813,493.41 × 379,782.02
  4. Step 4: Simplify right side
    542,381.28x = 308,950,166,439.02
  5. Step 5: Solve for x
    x = 308,950,166,439.02/542,381.28
  6. Step 6: Final answer
    x = 569,618.05

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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.