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Finding the Fourth Proportional to 406,852.98, 561,490.20 and 225,621.78

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Solution

The fourth proportional to 406,852.98, 561,490.20 and 225,621.78 is: 311,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,852.98 : 561,490.20 = 225,621.78 : x
  2. Step 2: Convert to fraction form
    406,852.98/561,490.20 = 225,621.78/x
  3. Step 3: Cross multiply
    406,852.98x = 561,490.20 × 225,621.78
  4. Step 4: Simplify right side
    406,852.98x = 126,684,418,376.56
  5. Step 5: Solve for x
    x = 126,684,418,376.56/406,852.98
  6. Step 6: Final answer
    x = 311,376.41

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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.