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Finding the Fourth Proportional to 253,858.25, 380,797.91 and 209,402.21

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Solution

The fourth proportional to 253,858.25, 380,797.91 and 209,402.21 is: 314,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858.25 : 380,797.91 = 209,402.21 : x
  2. Step 2: Convert to fraction form
    253,858.25/380,797.91 = 209,402.21/x
  3. Step 3: Cross multiply
    253,858.25x = 380,797.91 × 209,402.21
  4. Step 4: Simplify right side
    253,858.25x = 79,739,924,607.62
  5. Step 5: Solve for x
    x = 79,739,924,607.62/253,858.25
  6. Step 6: Final answer
    x = 314,112.00

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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.