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Finding the Fourth Proportional to 284,709.40, 427,064.10 and 179,992.60

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Solution

The fourth proportional to 284,709.40, 427,064.10 and 179,992.60 is: 269,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,709.40 : 427,064.10 = 179,992.60 : x
  2. Step 2: Convert to fraction form
    284,709.40/427,064.10 = 179,992.60/x
  3. Step 3: Cross multiply
    284,709.40x = 427,064.10 × 179,992.60
  4. Step 4: Simplify right side
    284,709.40x = 76,868,377,725.66
  5. Step 5: Solve for x
    x = 76,868,377,725.66/284,709.40
  6. Step 6: Final answer
    x = 269,988.90

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1.5x scale

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.