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Finding the Fourth Proportional to 284,137.20, 426,400.20 and 157,777.20

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Solution

The fourth proportional to 284,137.20, 426,400.20 and 157,777.20 is: 236,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,137.20 : 426,400.20 = 157,777.20 : x
  2. Step 2: Convert to fraction form
    284,137.20/426,400.20 = 157,777.20/x
  3. Step 3: Cross multiply
    284,137.20x = 426,400.20 × 157,777.20
  4. Step 4: Simplify right side
    284,137.20x = 67,276,229,635.44
  5. Step 5: Solve for x
    x = 67,276,229,635.44/284,137.20
  6. Step 6: Final answer
    x = 236,773.75

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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.