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Finding the Fourth Proportional to 393,309.22, 542,763.64 and 223,543.34

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Solution

The fourth proportional to 393,309.22, 542,763.64 and 223,543.34 is: 308,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,309.22 : 542,763.64 = 223,543.34 : x
  2. Step 2: Convert to fraction form
    393,309.22/542,763.64 = 223,543.34/x
  3. Step 3: Cross multiply
    393,309.22x = 542,763.64 × 223,543.34
  4. Step 4: Simplify right side
    393,309.22x = 121,331,198,312.75
  5. Step 5: Solve for x
    x = 121,331,198,312.75/393,309.22
  6. Step 6: Final answer
    x = 308,488.06

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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.