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Finding the Fourth Proportional to 318,662.22, 478,017.90 and 82,007.22

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Solution

The fourth proportional to 318,662.22, 478,017.90 and 82,007.22 is: 123,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,662.22 : 478,017.90 = 82,007.22 : x
  2. Step 2: Convert to fraction form
    318,662.22/478,017.90 = 82,007.22/x
  3. Step 3: Cross multiply
    318,662.22x = 478,017.90 × 82,007.22
  4. Step 4: Simplify right side
    318,662.22x = 39,200,919,089.24
  5. Step 5: Solve for x
    x = 39,200,919,089.24/318,662.22
  6. Step 6: Final answer
    x = 123,017.15

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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.