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Finding the Fourth Proportional to 393,638.86, 543,022.48 and 230,188.49

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Solution

The fourth proportional to 393,638.86, 543,022.48 and 230,188.49 is: 317,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,638.86 : 543,022.48 = 230,188.49 : x
  2. Step 2: Convert to fraction form
    393,638.86/543,022.48 = 230,188.49/x
  3. Step 3: Cross multiply
    393,638.86x = 543,022.48 × 230,188.49
  4. Step 4: Simplify right side
    393,638.86x = 124,997,524,707.26
  5. Step 5: Solve for x
    x = 124,997,524,707.26/393,638.86
  6. Step 6: Final answer
    x = 317,543.66

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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.