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Finding the Fourth Proportional to 542,029.47, 812,729.06 and 205,096.15

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Solution

The fourth proportional to 542,029.47, 812,729.06 and 205,096.15 is: 307,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,029.47 : 812,729.06 = 205,096.15 : x
  2. Step 2: Convert to fraction form
    542,029.47/812,729.06 = 205,096.15/x
  3. Step 3: Cross multiply
    542,029.47x = 812,729.06 × 205,096.15
  4. Step 4: Simplify right side
    542,029.47x = 166,687,601,958.66
  5. Step 5: Solve for x
    x = 166,687,601,958.66/542,029.47
  6. Step 6: Final answer
    x = 307,524.98

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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.