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Finding the Fourth Proportional to 406,597.18, 561,087.99 and 225,316.78

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Solution

The fourth proportional to 406,597.18, 561,087.99 and 225,316.78 is: 310,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,597.18 : 561,087.99 = 225,316.78 : x
  2. Step 2: Convert to fraction form
    406,597.18/561,087.99 = 225,316.78/x
  3. Step 3: Cross multiply
    406,597.18x = 561,087.99 × 225,316.78
  4. Step 4: Simplify right side
    406,597.18x = 126,422,539,203.47
  5. Step 5: Solve for x
    x = 126,422,539,203.47/406,597.18
  6. Step 6: Final answer
    x = 310,928.22

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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.