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Finding the Fourth Proportional to 284,744.04, 427,120.20 and 74,382

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Solution

The fourth proportional to 284,744.04, 427,120.20 and 74,382 is: 111,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,744.04 : 427,120.20 = 74,382 : x
  2. Step 2: Convert to fraction form
    284,744.04/427,120.20 = 74,382/x
  3. Step 3: Cross multiply
    284,744.04x = 427,120.20 × 74,382
  4. Step 4: Simplify right side
    284,744.04x = 31,770,054,716.40
  5. Step 5: Solve for x
    x = 31,770,054,716.40/284,744.04
  6. Step 6: Final answer
    x = 111,574.08

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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.