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Finding the Fourth Proportional to 318,660.22, 478,014.90 and 82,005.22

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Solution

The fourth proportional to 318,660.22, 478,014.90 and 82,005.22 is: 123,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,660.22 : 478,014.90 = 82,005.22 : x
  2. Step 2: Convert to fraction form
    318,660.22/478,014.90 = 82,005.22/x
  3. Step 3: Cross multiply
    318,660.22x = 478,014.90 × 82,005.22
  4. Step 4: Simplify right side
    318,660.22x = 39,199,717,037.78
  5. Step 5: Solve for x
    x = 39,199,717,037.78/318,660.22
  6. Step 6: Final answer
    x = 123,014.15

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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.