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Finding the Fourth Proportional to 318,864.03, 478,323.59 and 82,204.71

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Solution

The fourth proportional to 318,864.03, 478,323.59 and 82,204.71 is: 123,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,864.03 : 478,323.59 = 82,204.71 : x
  2. Step 2: Convert to fraction form
    318,864.03/478,323.59 = 82,204.71/x
  3. Step 3: Cross multiply
    318,864.03x = 478,323.59 × 82,204.71
  4. Step 4: Simplify right side
    318,864.03x = 39,320,451,591.09
  5. Step 5: Solve for x
    x = 39,320,451,591.09/318,864.03
  6. Step 6: Final answer
    x = 123,314.16

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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.