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Finding the Fourth Proportional to 284,424.26, 426,760.79 and 134,771.49

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Solution

The fourth proportional to 284,424.26, 426,760.79 and 134,771.49 is: 202,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,424.26 : 426,760.79 = 134,771.49 : x
  2. Step 2: Convert to fraction form
    284,424.26/426,760.79 = 134,771.49/x
  3. Step 3: Cross multiply
    284,424.26x = 426,760.79 × 134,771.49
  4. Step 4: Simplify right side
    284,424.26x = 57,515,186,868.02
  5. Step 5: Solve for x
    x = 57,515,186,868.02/284,424.26
  6. Step 6: Final answer
    x = 202,216.18

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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.