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Finding the Fourth Proportional to 416,644.32, 574,971.84 and 225,660

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Solution

The fourth proportional to 416,644.32, 574,971.84 and 225,660 is: 311,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,644.32 : 574,971.84 = 225,660 : x
  2. Step 2: Convert to fraction form
    416,644.32/574,971.84 = 225,660/x
  3. Step 3: Cross multiply
    416,644.32x = 574,971.84 × 225,660
  4. Step 4: Simplify right side
    416,644.32x = 129,748,145,414.40
  5. Step 5: Solve for x
    x = 129,748,145,414.40/416,644.32
  6. Step 6: Final answer
    x = 311,412.25

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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.