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Finding the Fourth Proportional to 318,740.80, 478,111.52 and 82,084

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Solution

The fourth proportional to 318,740.80, 478,111.52 and 82,084 is: 123,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,740.80 : 478,111.52 = 82,084 : x
  2. Step 2: Convert to fraction form
    318,740.80/478,111.52 = 82,084/x
  3. Step 3: Cross multiply
    318,740.80x = 478,111.52 × 82,084
  4. Step 4: Simplify right side
    318,740.80x = 39,245,306,007.68
  5. Step 5: Solve for x
    x = 39,245,306,007.68/318,740.80
  6. Step 6: Final answer
    x = 123,126.08

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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.