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Finding the Fourth Proportional to 399,654.90, 599,427.63 and 133,409.34

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Solution

The fourth proportional to 399,654.90, 599,427.63 and 133,409.34 is: 200,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,654.90 : 599,427.63 = 133,409.34 : x
  2. Step 2: Convert to fraction form
    399,654.90/599,427.63 = 133,409.34/x
  3. Step 3: Cross multiply
    399,654.90x = 599,427.63 × 133,409.34
  4. Step 4: Simplify right side
    399,654.90x = 79,969,244,496.06
  5. Step 5: Solve for x
    x = 79,969,244,496.06/399,654.90
  6. Step 6: Final answer
    x = 200,095.74

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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.