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Finding the Fourth Proportional to 406,379.05, 561,074.31 and 253,478.59

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Solution

The fourth proportional to 406,379.05, 561,074.31 and 253,478.59 is: 349,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,379.05 : 561,074.31 = 253,478.59 : x
  2. Step 2: Convert to fraction form
    406,379.05/561,074.31 = 253,478.59/x
  3. Step 3: Cross multiply
    406,379.05x = 561,074.31 × 253,478.59
  4. Step 4: Simplify right side
    406,379.05x = 142,220,323,581.34
  5. Step 5: Solve for x
    x = 142,220,323,581.34/406,379.05
  6. Step 6: Final answer
    x = 349,969.63

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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.