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Finding the Fourth Proportional to 406,625.64, 561,144.68 and 225,340.57

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Solution

The fourth proportional to 406,625.64, 561,144.68 and 225,340.57 is: 310,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,625.64 : 561,144.68 = 225,340.57 : x
  2. Step 2: Convert to fraction form
    406,625.64/561,144.68 = 225,340.57/x
  3. Step 3: Cross multiply
    406,625.64x = 561,144.68 × 225,340.57
  4. Step 4: Simplify right side
    406,625.64x = 126,448,662,043.67
  5. Step 5: Solve for x
    x = 126,448,662,043.67/406,625.64
  6. Step 6: Final answer
    x = 310,970.71

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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.