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Finding the Fourth Proportional to 284,767.45, 427,253.54 and 133,099.61

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Solution

The fourth proportional to 284,767.45, 427,253.54 and 133,099.61 is: 199,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,767.45 : 427,253.54 = 133,099.61 : x
  2. Step 2: Convert to fraction form
    284,767.45/427,253.54 = 133,099.61/x
  3. Step 3: Cross multiply
    284,767.45x = 427,253.54 × 133,099.61
  4. Step 4: Simplify right side
    284,767.45x = 56,867,276,743.35
  5. Step 5: Solve for x
    x = 56,867,276,743.35/284,767.45
  6. Step 6: Final answer
    x = 199,697.25

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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.