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Finding the Fourth Proportional to 257,227.92, 385,861.84 and 77,299.30

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Solution

The fourth proportional to 257,227.92, 385,861.84 and 77,299.30 is: 115,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,227.92 : 385,861.84 = 77,299.30 : x
  2. Step 2: Convert to fraction form
    257,227.92/385,861.84 = 77,299.30/x
  3. Step 3: Cross multiply
    257,227.92x = 385,861.84 × 77,299.30
  4. Step 4: Simplify right side
    257,227.92x = 29,826,850,128.71
  5. Step 5: Solve for x
    x = 29,826,850,128.71/257,227.92
  6. Step 6: Final answer
    x = 115,954.95

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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.