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Finding the Fourth Proportional to 284,844.40, 427,290.99 and 74,482

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Solution

The fourth proportional to 284,844.40, 427,290.99 and 74,482 is: 111,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,844.40 : 427,290.99 = 74,482 : x
  2. Step 2: Convert to fraction form
    284,844.40/427,290.99 = 74,482/x
  3. Step 3: Cross multiply
    284,844.40x = 427,290.99 × 74,482
  4. Step 4: Simplify right side
    284,844.40x = 31,825,487,517.18
  5. Step 5: Solve for x
    x = 31,825,487,517.18/284,844.40
  6. Step 6: Final answer
    x = 111,729.38

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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.