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Finding the Fourth Proportional to 405,043.26, 558,957.90 and 223,755.27

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Solution

The fourth proportional to 405,043.26, 558,957.90 and 223,755.27 is: 308,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,043.26 : 558,957.90 = 223,755.27 : x
  2. Step 2: Convert to fraction form
    405,043.26/558,957.90 = 223,755.27/x
  3. Step 3: Cross multiply
    405,043.26x = 558,957.90 × 223,755.27
  4. Step 4: Simplify right side
    405,043.26x = 125,069,778,191.64
  5. Step 5: Solve for x
    x = 125,069,778,191.64/405,043.26
  6. Step 6: Final answer
    x = 308,781.29

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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.