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Finding the Fourth Proportional to 311,664.80, 466,330.80 and 206,688.80

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Solution

The fourth proportional to 311,664.80, 466,330.80 and 206,688.80 is: 309,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,664.80 : 466,330.80 = 206,688.80 : x
  2. Step 2: Convert to fraction form
    311,664.80/466,330.80 = 206,688.80/x
  3. Step 3: Cross multiply
    311,664.80x = 466,330.80 × 206,688.80
  4. Step 4: Simplify right side
    311,664.80x = 96,385,353,455.04
  5. Step 5: Solve for x
    x = 96,385,353,455.04/311,664.80
  6. Step 6: Final answer
    x = 309,259.67

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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.