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Finding the Fourth Proportional to 275,709.60, 413,564.40 and 251,215.20

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Solution

The fourth proportional to 275,709.60, 413,564.40 and 251,215.20 is: 376,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,709.60 : 413,564.40 = 251,215.20 : x
  2. Step 2: Convert to fraction form
    275,709.60/413,564.40 = 251,215.20/x
  3. Step 3: Cross multiply
    275,709.60x = 413,564.40 × 251,215.20
  4. Step 4: Simplify right side
    275,709.60x = 103,893,663,458.88
  5. Step 5: Solve for x
    x = 103,893,663,458.88/275,709.60
  6. Step 6: Final answer
    x = 376,822.80

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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.