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Finding the Fourth Proportional to 284,863.74, 427,082.83 and 172,516.64

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Solution

The fourth proportional to 284,863.74, 427,082.83 and 172,516.64 is: 258,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,863.74 : 427,082.83 = 172,516.64 : x
  2. Step 2: Convert to fraction form
    284,863.74/427,082.83 = 172,516.64/x
  3. Step 3: Cross multiply
    284,863.74x = 427,082.83 × 172,516.64
  4. Step 4: Simplify right side
    284,863.74x = 73,678,892,266.59
  5. Step 5: Solve for x
    x = 73,678,892,266.59/284,863.74
  6. Step 6: Final answer
    x = 258,646.09

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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.