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Finding the Fourth Proportional to 409,435.71, 565,024.98 and 225,664.20

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Solution

The fourth proportional to 409,435.71, 565,024.98 and 225,664.20 is: 311,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.71 : 565,024.98 = 225,664.20 : x
  2. Step 2: Convert to fraction form
    409,435.71/565,024.98 = 225,664.20/x
  3. Step 3: Cross multiply
    409,435.71x = 565,024.98 × 225,664.20
  4. Step 4: Simplify right side
    409,435.71x = 127,505,910,091.72
  5. Step 5: Solve for x
    x = 127,505,910,091.72/409,435.71
  6. Step 6: Final answer
    x = 311,418.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.