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Finding the Fourth Proportional to 406,893.30, 561,509.98 and 225,605.31

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Solution

The fourth proportional to 406,893.30, 561,509.98 and 225,605.31 is: 311,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,893.30 : 561,509.98 = 225,605.31 : x
  2. Step 2: Convert to fraction form
    406,893.30/561,509.98 = 225,605.31/x
  3. Step 3: Cross multiply
    406,893.30x = 561,509.98 × 225,605.31
  4. Step 4: Simplify right side
    406,893.30x = 126,679,633,105.99
  5. Step 5: Solve for x
    x = 126,679,633,105.99/406,893.30
  6. Step 6: Final answer
    x = 311,333.79

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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.