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Finding the Fourth Proportional to 393,063.12, 542,428.92 and 223,306.56

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Solution

The fourth proportional to 393,063.12, 542,428.92 and 223,306.56 is: 308,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,063.12 : 542,428.92 = 223,306.56 : x
  2. Step 2: Convert to fraction form
    393,063.12/542,428.92 = 223,306.56/x
  3. Step 3: Cross multiply
    393,063.12x = 542,428.92 × 223,306.56
  4. Step 4: Simplify right side
    393,063.12x = 121,127,936,169.72
  5. Step 5: Solve for x
    x = 121,127,936,169.72/393,063.12
  6. Step 6: Final answer
    x = 308,164.08

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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.