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Finding the Fourth Proportional to 208,021.80, 312,339.90 and 161,327.40

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Solution

The fourth proportional to 208,021.80, 312,339.90 and 161,327.40 is: 242,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021.80 : 312,339.90 = 161,327.40 : x
  2. Step 2: Convert to fraction form
    208,021.80/312,339.90 = 161,327.40/x
  3. Step 3: Cross multiply
    208,021.80x = 312,339.90 × 161,327.40
  4. Step 4: Simplify right side
    208,021.80x = 50,388,983,983.26
  5. Step 5: Solve for x
    x = 50,388,983,983.26/208,021.80
  6. Step 6: Final answer
    x = 242,229.34

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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.