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Finding the Fourth Proportional to 393,537.86, 543,079.74 and 223,772

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Solution

The fourth proportional to 393,537.86, 543,079.74 and 223,772 is: 308,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,537.86 : 543,079.74 = 223,772 : x
  2. Step 2: Convert to fraction form
    393,537.86/543,079.74 = 223,772/x
  3. Step 3: Cross multiply
    393,537.86x = 543,079.74 × 223,772
  4. Step 4: Simplify right side
    393,537.86x = 121,526,039,579.28
  5. Step 5: Solve for x
    x = 121,526,039,579.28/393,537.86
  6. Step 6: Final answer
    x = 308,803.93

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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.