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Finding the Fourth Proportional to 272,356.70, 408,535.05 and 82,816.70

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Solution

The fourth proportional to 272,356.70, 408,535.05 and 82,816.70 is: 124,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,356.70 : 408,535.05 = 82,816.70 : x
  2. Step 2: Convert to fraction form
    272,356.70/408,535.05 = 82,816.70/x
  3. Step 3: Cross multiply
    272,356.70x = 408,535.05 × 82,816.70
  4. Step 4: Simplify right side
    272,356.70x = 33,833,524,675.34
  5. Step 5: Solve for x
    x = 33,833,524,675.34/272,356.70
  6. Step 6: Final answer
    x = 124,225.05

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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.