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Finding the Fourth Proportional to 284,199.72, 392,200.43 and 155,144.85

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Solution

The fourth proportional to 284,199.72, 392,200.43 and 155,144.85 is: 214,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,199.72 : 392,200.43 = 155,144.85 : x
  2. Step 2: Convert to fraction form
    284,199.72/392,200.43 = 155,144.85/x
  3. Step 3: Cross multiply
    284,199.72x = 392,200.43 × 155,144.85
  4. Step 4: Simplify right side
    284,199.72x = 60,847,876,106.56
  5. Step 5: Solve for x
    x = 60,847,876,106.56/284,199.72
  6. Step 6: Final answer
    x = 214,102.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.