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Finding the Fourth Proportional to 406,978.35, 561,631.64 and 225,707.03

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Solution

The fourth proportional to 406,978.35, 561,631.64 and 225,707.03 is: 311,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.35 : 561,631.64 = 225,707.03 : x
  2. Step 2: Convert to fraction form
    406,978.35/561,631.64 = 225,707.03/x
  3. Step 3: Cross multiply
    406,978.35x = 561,631.64 × 225,707.03
  4. Step 4: Simplify right side
    406,978.35x = 126,764,211,386.78
  5. Step 5: Solve for x
    x = 126,764,211,386.78/406,978.35
  6. Step 6: Final answer
    x = 311,476.55

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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.