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Finding the Fourth Proportional to 536,074.68, 739,732.14 and 321,174.84

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Solution

The fourth proportional to 536,074.68, 739,732.14 and 321,174.84 is: 443,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,074.68 : 739,732.14 = 321,174.84 : x
  2. Step 2: Convert to fraction form
    536,074.68/739,732.14 = 321,174.84/x
  3. Step 3: Cross multiply
    536,074.68x = 739,732.14 × 321,174.84
  4. Step 4: Simplify right side
    536,074.68x = 237,583,351,707.36
  5. Step 5: Solve for x
    x = 237,583,351,707.36/536,074.68
  6. Step 6: Final answer
    x = 443,190.77

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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.