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Finding the Fourth Proportional to 542,653.44, 813,520.80 and 205,508.22

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Solution

The fourth proportional to 542,653.44, 813,520.80 and 205,508.22 is: 308,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,653.44 : 813,520.80 = 205,508.22 : x
  2. Step 2: Convert to fraction form
    542,653.44/813,520.80 = 205,508.22/x
  3. Step 3: Cross multiply
    542,653.44x = 813,520.80 × 205,508.22
  4. Step 4: Simplify right side
    542,653.44x = 167,185,211,540.98
  5. Step 5: Solve for x
    x = 167,185,211,540.98/542,653.44
  6. Step 6: Final answer
    x = 308,088.37

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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.