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Finding the Fourth Proportional to 542,901.60, 814,093.14 and 318,330.42

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Solution

The fourth proportional to 542,901.60, 814,093.14 and 318,330.42 is: 477,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,901.60 : 814,093.14 = 318,330.42 : x
  2. Step 2: Convert to fraction form
    542,901.60/814,093.14 = 318,330.42/x
  3. Step 3: Cross multiply
    542,901.60x = 814,093.14 × 318,330.42
  4. Step 4: Simplify right side
    542,901.60x = 259,150,611,175.32
  5. Step 5: Solve for x
    x = 259,150,611,175.32/542,901.60
  6. Step 6: Final answer
    x = 477,343.61

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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.