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Finding the Fourth Proportional to 392,973.12, 542,304.72 and 223,216.56

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Solution

The fourth proportional to 392,973.12, 542,304.72 and 223,216.56 is: 308,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,973.12 : 542,304.72 = 223,216.56 : x
  2. Step 2: Convert to fraction form
    392,973.12/542,304.72 = 223,216.56/x
  3. Step 3: Cross multiply
    392,973.12x = 542,304.72 × 223,216.56
  4. Step 4: Simplify right side
    392,973.12x = 121,051,394,070.16
  5. Step 5: Solve for x
    x = 121,051,394,070.16/392,973.12
  6. Step 6: Final answer
    x = 308,039.88

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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.