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Finding the Fourth Proportional to 311,230.56, 466,806.96 and 86,607.84

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Solution

The fourth proportional to 311,230.56, 466,806.96 and 86,607.84 is: 129,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.56 : 466,806.96 = 86,607.84 : x
  2. Step 2: Convert to fraction form
    311,230.56/466,806.96 = 86,607.84/x
  3. Step 3: Cross multiply
    311,230.56x = 466,806.96 × 86,607.84
  4. Step 4: Simplify right side
    311,230.56x = 40,429,142,502.57
  5. Step 5: Solve for x
    x = 40,429,142,502.57/311,230.56
  6. Step 6: Final answer
    x = 129,900.94

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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.