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Finding the Fourth Proportional to 284,429.80, 426,255.90 and 189,389.80

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Solution

The fourth proportional to 284,429.80, 426,255.90 and 189,389.80 is: 283,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,429.80 : 426,255.90 = 189,389.80 : x
  2. Step 2: Convert to fraction form
    284,429.80/426,255.90 = 189,389.80/x
  3. Step 3: Cross multiply
    284,429.80x = 426,255.90 × 189,389.80
  4. Step 4: Simplify right side
    284,429.80x = 80,728,519,649.82
  5. Step 5: Solve for x
    x = 80,728,519,649.82/284,429.80
  6. Step 6: Final answer
    x = 283,825.81

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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.