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Finding the Fourth Proportional to 393,643.48, 543,208.11 and 223,873.96

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Solution

The fourth proportional to 393,643.48, 543,208.11 and 223,873.96 is: 308,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.48 : 543,208.11 = 223,873.96 : x
  2. Step 2: Convert to fraction form
    393,643.48/543,208.11 = 223,873.96/x
  3. Step 3: Cross multiply
    393,643.48x = 543,208.11 × 223,873.96
  4. Step 4: Simplify right side
    393,643.48x = 121,610,150,689.82
  5. Step 5: Solve for x
    x = 121,610,150,689.82/393,643.48
  6. Step 6: Final answer
    x = 308,934.75

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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.