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Finding the Fourth Proportional to 393,530.34, 590,419.56 and 299,211.85

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Solution

The fourth proportional to 393,530.34, 590,419.56 and 299,211.85 is: 448,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,530.34 : 590,419.56 = 299,211.85 : x
  2. Step 2: Convert to fraction form
    393,530.34/590,419.56 = 299,211.85/x
  3. Step 3: Cross multiply
    393,530.34x = 590,419.56 × 299,211.85
  4. Step 4: Simplify right side
    393,530.34x = 176,660,524,375.63
  5. Step 5: Solve for x
    x = 176,660,524,375.63/393,530.34
  6. Step 6: Final answer
    x = 448,912.08

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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.