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Finding the Fourth Proportional to 488,866.36, 733,302.78 and 189,380.20

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Solution

The fourth proportional to 488,866.36, 733,302.78 and 189,380.20 is: 284,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,866.36 : 733,302.78 = 189,380.20 : x
  2. Step 2: Convert to fraction form
    488,866.36/733,302.78 = 189,380.20/x
  3. Step 3: Cross multiply
    488,866.36x = 733,302.78 × 189,380.20
  4. Step 4: Simplify right side
    488,866.36x = 138,873,027,136.96
  5. Step 5: Solve for x
    x = 138,873,027,136.96/488,866.36
  6. Step 6: Final answer
    x = 284,071.56

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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.