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Finding the Fourth Proportional to 270,204.50, 372,688.82 and 189,650

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Solution

The fourth proportional to 270,204.50, 372,688.82 and 189,650 is: 261,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204.50 : 372,688.82 = 189,650 : x
  2. Step 2: Convert to fraction form
    270,204.50/372,688.82 = 189,650/x
  3. Step 3: Cross multiply
    270,204.50x = 372,688.82 × 189,650
  4. Step 4: Simplify right side
    270,204.50x = 70,680,434,713
  5. Step 5: Solve for x
    x = 70,680,434,713/270,204.50
  6. Step 6: Final answer
    x = 261,581.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.