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Finding the Fourth Proportional to 542,548.56, 813,867.06 and 272,537.76

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Solution

The fourth proportional to 542,548.56, 813,867.06 and 272,537.76 is: 408,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,548.56 : 813,867.06 = 272,537.76 : x
  2. Step 2: Convert to fraction form
    542,548.56/813,867.06 = 272,537.76/x
  3. Step 3: Cross multiply
    542,548.56x = 813,867.06 × 272,537.76
  4. Step 4: Simplify right side
    542,548.56x = 221,809,505,470.19
  5. Step 5: Solve for x
    x = 221,809,505,470.19/542,548.56
  6. Step 6: Final answer
    x = 408,828.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.