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Finding the Fourth Proportional to 406,493.49, 560,734.99 and 320,134.33

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Solution

The fourth proportional to 406,493.49, 560,734.99 and 320,134.33 is: 441,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,493.49 : 560,734.99 = 320,134.33 : x
  2. Step 2: Convert to fraction form
    406,493.49/560,734.99 = 320,134.33/x
  3. Step 3: Cross multiply
    406,493.49x = 560,734.99 × 320,134.33
  4. Step 4: Simplify right side
    406,493.49x = 179,510,520,331.21
  5. Step 5: Solve for x
    x = 179,510,520,331.21/406,493.49
  6. Step 6: Final answer
    x = 441,607.37

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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.