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Finding the Fourth Proportional to 328,181.27, 492,271.85 and 78,863.27

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Solution

The fourth proportional to 328,181.27, 492,271.85 and 78,863.27 is: 118,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,181.27 : 492,271.85 = 78,863.27 : x
  2. Step 2: Convert to fraction form
    328,181.27/492,271.85 = 78,863.27/x
  3. Step 3: Cross multiply
    328,181.27x = 492,271.85 × 78,863.27
  4. Step 4: Simplify right side
    328,181.27x = 38,822,167,819.95
  5. Step 5: Solve for x
    x = 38,822,167,819.95/328,181.27
  6. Step 6: Final answer
    x = 118,294.89

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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.