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Finding the Fourth Proportional to 311,152.80, 465,562.80 and 206,176.80

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Solution

The fourth proportional to 311,152.80, 465,562.80 and 206,176.80 is: 308,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,152.80 : 465,562.80 = 206,176.80 : x
  2. Step 2: Convert to fraction form
    311,152.80/465,562.80 = 206,176.80/x
  3. Step 3: Cross multiply
    311,152.80x = 465,562.80 × 206,176.80
  4. Step 4: Simplify right side
    311,152.80x = 95,988,248,303.04
  5. Step 5: Solve for x
    x = 95,988,248,303.04/311,152.80
  6. Step 6: Final answer
    x = 308,492.32

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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.