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Finding the Fourth Proportional to 276,716.55, 415,074.93 and 213,628.77

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Solution

The fourth proportional to 276,716.55, 415,074.93 and 213,628.77 is: 320,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,716.55 : 415,074.93 = 213,628.77 : x
  2. Step 2: Convert to fraction form
    276,716.55/415,074.93 = 213,628.77/x
  3. Step 3: Cross multiply
    276,716.55x = 415,074.93 × 213,628.77
  4. Step 4: Simplify right side
    276,716.55x = 88,671,946,753.74
  5. Step 5: Solve for x
    x = 88,671,946,753.74/276,716.55
  6. Step 6: Final answer
    x = 320,443.24

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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.