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Finding the Fourth Proportional to 393,531.86, 543,071.46 and 223,766

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Solution

The fourth proportional to 393,531.86, 543,071.46 and 223,766 is: 308,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,531.86 : 543,071.46 = 223,766 : x
  2. Step 2: Convert to fraction form
    393,531.86/543,071.46 = 223,766/x
  3. Step 3: Cross multiply
    393,531.86x = 543,071.46 × 223,766
  4. Step 4: Simplify right side
    393,531.86x = 121,520,928,318.36
  5. Step 5: Solve for x
    x = 121,520,928,318.36/393,531.86
  6. Step 6: Final answer
    x = 308,795.65

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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.