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Finding the Fourth Proportional to 406,853.12, 561,475 and 225,553.52

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Solution

The fourth proportional to 406,853.12, 561,475 and 225,553.52 is: 311,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,853.12 : 561,475 = 225,553.52 : x
  2. Step 2: Convert to fraction form
    406,853.12/561,475 = 225,553.52/x
  3. Step 3: Cross multiply
    406,853.12x = 561,475 × 225,553.52
  4. Step 4: Simplify right side
    406,853.12x = 126,642,662,642
  5. Step 5: Solve for x
    x = 126,642,662,642/406,853.12
  6. Step 6: Final answer
    x = 311,273.67

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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.