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Finding the Fourth Proportional to 512,123.96, 707,014.13 and 308,224.94

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Solution

The fourth proportional to 512,123.96, 707,014.13 and 308,224.94 is: 425,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,123.96 : 707,014.13 = 308,224.94 : x
  2. Step 2: Convert to fraction form
    512,123.96/707,014.13 = 308,224.94/x
  3. Step 3: Cross multiply
    512,123.96x = 707,014.13 × 308,224.94
  4. Step 4: Simplify right side
    512,123.96x = 217,919,382,722.21
  5. Step 5: Solve for x
    x = 217,919,382,722.21/512,123.96
  6. Step 6: Final answer
    x = 425,520.78

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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.