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Finding the Fourth Proportional to 318,677.28, 478,040.40 and 82,022.28

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Solution

The fourth proportional to 318,677.28, 478,040.40 and 82,022.28 is: 123,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,677.28 : 478,040.40 = 82,022.28 : x
  2. Step 2: Convert to fraction form
    318,677.28/478,040.40 = 82,022.28/x
  3. Step 3: Cross multiply
    318,677.28x = 478,040.40 × 82,022.28
  4. Step 4: Simplify right side
    318,677.28x = 39,209,963,540.11
  5. Step 5: Solve for x
    x = 39,209,963,540.11/318,677.28
  6. Step 6: Final answer
    x = 123,039.72

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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.