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Finding the Fourth Proportional to 413,997.22, 620,933.44 and 265,276.78

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Solution

The fourth proportional to 413,997.22, 620,933.44 and 265,276.78 is: 397,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,997.22 : 620,933.44 = 265,276.78 : x
  2. Step 2: Convert to fraction form
    413,997.22/620,933.44 = 265,276.78/x
  3. Step 3: Cross multiply
    413,997.22x = 620,933.44 × 265,276.78
  4. Step 4: Simplify right side
    413,997.22x = 164,719,223,557.52
  5. Step 5: Solve for x
    x = 164,719,223,557.52/413,997.22
  6. Step 6: Final answer
    x = 397,875.19

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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.