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Finding the Fourth Proportional to 253,873.82, 380,821.17 and 209,417.78

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Solution

The fourth proportional to 253,873.82, 380,821.17 and 209,417.78 is: 314,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,873.82 : 380,821.17 = 209,417.78 : x
  2. Step 2: Convert to fraction form
    253,873.82/380,821.17 = 209,417.78/x
  3. Step 3: Cross multiply
    253,873.82x = 380,821.17 × 209,417.78
  4. Step 4: Simplify right side
    253,873.82x = 79,750,723,998.40
  5. Step 5: Solve for x
    x = 79,750,723,998.40/253,873.82
  6. Step 6: Final answer
    x = 314,135.28

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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.