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Finding the Fourth Proportional to 393,069.87, 542,438.25 and 223,313.31

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Solution

The fourth proportional to 393,069.87, 542,438.25 and 223,313.31 is: 308,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,069.87 : 542,438.25 = 223,313.31 : x
  2. Step 2: Convert to fraction form
    393,069.87/542,438.25 = 223,313.31/x
  3. Step 3: Cross multiply
    393,069.87x = 542,438.25 × 223,313.31
  4. Step 4: Simplify right side
    393,069.87x = 121,133,681,078.11
  5. Step 5: Solve for x
    x = 121,133,681,078.11/393,069.87
  6. Step 6: Final answer
    x = 308,173.41

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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.