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Finding the Fourth Proportional to 542,481.63, 813,880.45 and 242,892.15

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Solution

The fourth proportional to 542,481.63, 813,880.45 and 242,892.15 is: 364,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,481.63 : 813,880.45 = 242,892.15 : x
  2. Step 2: Convert to fraction form
    542,481.63/813,880.45 = 242,892.15/x
  3. Step 3: Cross multiply
    542,481.63x = 813,880.45 × 242,892.15
  4. Step 4: Simplify right side
    542,481.63x = 197,685,167,666.84
  5. Step 5: Solve for x
    x = 197,685,167,666.84/542,481.63
  6. Step 6: Final answer
    x = 364,408.96

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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.