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Finding the Fourth Proportional to 318,786.84, 478,209.60 and 82,130.40

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Solution

The fourth proportional to 318,786.84, 478,209.60 and 82,130.40 is: 123,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,786.84 : 478,209.60 = 82,130.40 : x
  2. Step 2: Convert to fraction form
    318,786.84/478,209.60 = 82,130.40/x
  3. Step 3: Cross multiply
    318,786.84x = 478,209.60 × 82,130.40
  4. Step 4: Simplify right side
    318,786.84x = 39,275,545,731.84
  5. Step 5: Solve for x
    x = 39,275,545,731.84/318,786.84
  6. Step 6: Final answer
    x = 123,203.16

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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.