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Finding the Fourth Proportional to 513,119.10, 769,803.93 and 361,611.72

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Solution

The fourth proportional to 513,119.10, 769,803.93 and 361,611.72 is: 542,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,119.10 : 769,803.93 = 361,611.72 : x
  2. Step 2: Convert to fraction form
    513,119.10/769,803.93 = 361,611.72/x
  3. Step 3: Cross multiply
    513,119.10x = 769,803.93 × 361,611.72
  4. Step 4: Simplify right side
    513,119.10x = 278,370,123,190.06
  5. Step 5: Solve for x
    x = 278,370,123,190.06/513,119.10
  6. Step 6: Final answer
    x = 542,505.87

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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.