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Finding the Fourth Proportional to 276,716, 381,952.76 and 162,021.53

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Solution

The fourth proportional to 276,716, 381,952.76 and 162,021.53 is: 223,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,716 : 381,952.76 = 162,021.53 : x
  2. Step 2: Convert to fraction form
    276,716/381,952.76 = 162,021.53/x
  3. Step 3: Cross multiply
    276,716x = 381,952.76 × 162,021.53
  4. Step 4: Simplify right side
    276,716x = 61,884,570,562.92
  5. Step 5: Solve for x
    x = 61,884,570,562.92/276,716
  6. Step 6: Final answer
    x = 223,639.29

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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.