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Finding the Fourth Proportional to 284,850.32, 427,275.48 and 74,486.43

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Solution

The fourth proportional to 284,850.32, 427,275.48 and 74,486.43 is: 111,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,850.32 : 427,275.48 = 74,486.43 : x
  2. Step 2: Convert to fraction form
    284,850.32/427,275.48 = 74,486.43/x
  3. Step 3: Cross multiply
    284,850.32x = 427,275.48 × 74,486.43
  4. Step 4: Simplify right side
    284,850.32x = 31,826,225,131.74
  5. Step 5: Solve for x
    x = 31,826,225,131.74/284,850.32
  6. Step 6: Final answer
    x = 111,729.65

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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.