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Finding the Fourth Proportional to 284,841.66, 427,286.86 and 74,479.26

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Solution

The fourth proportional to 284,841.66, 427,286.86 and 74,479.26 is: 111,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,841.66 : 427,286.86 = 74,479.26 : x
  2. Step 2: Convert to fraction form
    284,841.66/427,286.86 = 74,479.26/x
  3. Step 3: Cross multiply
    284,841.66x = 427,286.86 × 74,479.26
  4. Step 4: Simplify right side
    284,841.66x = 31,824,009,140.52
  5. Step 5: Solve for x
    x = 31,824,009,140.52/284,841.66
  6. Step 6: Final answer
    x = 111,725.26

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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.