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Finding the Fourth Proportional to 320,663.85, 442,323.31 and 211,769.19

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Solution

The fourth proportional to 320,663.85, 442,323.31 and 211,769.19 is: 292,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,663.85 : 442,323.31 = 211,769.19 : x
  2. Step 2: Convert to fraction form
    320,663.85/442,323.31 = 211,769.19/x
  3. Step 3: Cross multiply
    320,663.85x = 442,323.31 × 211,769.19
  4. Step 4: Simplify right side
    320,663.85x = 93,670,449,617.98
  5. Step 5: Solve for x
    x = 93,670,449,617.98/320,663.85
  6. Step 6: Final answer
    x = 292,114.15

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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.