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Finding the Fourth Proportional to 284,139.32, 426,193.38 and 171,789.38

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Solution

The fourth proportional to 284,139.32, 426,193.38 and 171,789.38 is: 257,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,139.32 : 426,193.38 = 171,789.38 : x
  2. Step 2: Convert to fraction form
    284,139.32/426,193.38 = 171,789.38/x
  3. Step 3: Cross multiply
    284,139.32x = 426,193.38 × 171,789.38
  4. Step 4: Simplify right side
    284,139.32x = 73,215,496,510.30
  5. Step 5: Solve for x
    x = 73,215,496,510.30/284,139.32
  6. Step 6: Final answer
    x = 257,674.64

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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.